Question

LCM of 24 , 48 with explaination

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Answer 1

Answer:

48

Step-by-step explanation:

lcm of 24,48is

12×2×2

24×2

48

Answer 2

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

Least Common Multiple (LCM) of 24 and 48 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24 and 48. First we will calculate the prime factors of 24 and 48.

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

Now multiplying the highest exponent prime factors to calculate the LCM of 24 and 48.

LCM(24,48) = 24 × 31

LCM(24,48) = 48