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What is the Least Common Multiple of 3720 and 3728?

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 3720 and 3728 is 1733520.

LCM(3720,3728) = 1733520

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Least Common Multiple of 3720 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3720 and 3728, than apply into the LCM equation.

GCF(3720,3728) = 8
LCM(3720,3728) = ( 3720 × 3728) / 8
LCM(3720,3728) = 13868160 / 8
LCM(3720,3728) = 1733520

Least Common Multiple (LCM) of 3720 and 3728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3720 and 3728. First we will calculate the prime factors of 3720 and 3728.

Prime Factorization of 3720

Prime factors of 3720 are 2, 3, 5, 31. Prime factorization of 3720 in exponential form is:

3720 = 23 × 31 × 51 × 311

Prime Factorization of 3728

Prime factors of 3728 are 2, 233. Prime factorization of 3728 in exponential form is:

3728 = 24 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3720 and 3728.

LCM(3720,3728) = 24 × 31 × 51 × 311 × 2331
LCM(3720,3728) = 1733520