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What is the Least Common Multiple of 3720 and 3740?

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 3740 is 695640.

LCM(3720,3740) = 695640

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Least Common Multiple of 3720 and 3740 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 3740, than apply into the LCM equation.

GCF(3720,3740) = 20
LCM(3720,3740) = ( 3720 × 3740) / 20
LCM(3720,3740) = 13912800 / 20
LCM(3720,3740) = 695640

Least Common Multiple (LCM) of 3720 and 3740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3720 and 3740. First we will calculate the prime factors of 3720 and 3740.

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 3740

Prime factors of 3740 are 2, 5, 11, 17. Prime factorization of 3740 in exponential form is:

3740 = 22 × 51 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 3720 and 3740.

LCM(3720,3740) = 23 × 31 × 51 × 311 × 111 × 171
LCM(3720,3740) = 695640