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What is the Least Common Multiple of 3690 and 3695?

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 3690 and 3695 is 2726910.

LCM(3690,3695) = 2726910

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Least Common Multiple of 3690 and 3695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3690 and 3695, than apply into the LCM equation.

GCF(3690,3695) = 5
LCM(3690,3695) = ( 3690 × 3695) / 5
LCM(3690,3695) = 13634550 / 5
LCM(3690,3695) = 2726910

Least Common Multiple (LCM) of 3690 and 3695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3690 and 3695. First we will calculate the prime factors of 3690 and 3695.

Prime Factorization of 3690

Prime factors of 3690 are 2, 3, 5, 41. Prime factorization of 3690 in exponential form is:

3690 = 21 × 32 × 51 × 411

Prime Factorization of 3695

Prime factors of 3695 are 5, 739. Prime factorization of 3695 in exponential form is:

3695 = 51 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 3690 and 3695.

LCM(3690,3695) = 21 × 32 × 51 × 411 × 7391
LCM(3690,3695) = 2726910