Question

find the lcm of 24 and 48 by using division method
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Answer 1

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Least Common Multiple of 24 and 48

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 24 and 48 is 48.

LCM(24,48) = 48

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Least Common Multiple of

24

and

48

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Least Common Multiple of 24 and 48 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 24 and 48, than apply into the LCM equation.

GCF(24,48) = 24

LCM(24,48) = ( 24 × 48) / 24

LCM(24,48) = 1152 / 24

LCM(24,48) = 48

Answer 2

Explanation:

Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Prime Factorization of 48

Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:

48 = 24 × 31