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What is the Least Common Multiple of 3870 and 3877?

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 3870 and 3877 is 15003990.

LCM(3870,3877) = 15003990

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Least Common Multiple of 3870 and 3877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3870 and 3877, than apply into the LCM equation.

GCF(3870,3877) = 1
LCM(3870,3877) = ( 3870 × 3877) / 1
LCM(3870,3877) = 15003990 / 1
LCM(3870,3877) = 15003990

Least Common Multiple (LCM) of 3870 and 3877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3870 and 3877. First we will calculate the prime factors of 3870 and 3877.

Prime Factorization of 3870

Prime factors of 3870 are 2, 3, 5, 43. Prime factorization of 3870 in exponential form is:

3870 = 21 × 32 × 51 × 431

Prime Factorization of 3877

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 3870 and 3877.

LCM(3870,3877) = 21 × 32 × 51 × 431 × 38771
LCM(3870,3877) = 15003990