Question

24,40 lcm problem answer
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Answer 1

Answer:

Least Common Multiple (LCM) of 24 and 40 is 120.

Answer 2

Least Common Multiple of 24 and 40 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 40, than apply into the LCM equation.

GCF(24,40) = 8

LCM(24,40) = ( 24 × 40) / 8

LCM(24,40) = 960 / 8

LCM(24,40) = 120

Least Common Multiple (LCM) of 24 and 40 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24 and 40. First we will calculate the prime factors of 24 and 40.

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 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 23 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 24 and 40.

LCM(24,40) = 23 × 31 × 51

LCM(24,40) = 120