GCF and LCM Calculator Logo

What is the Least Common Multiple of 38612 and 38625?

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 38612 and 38625 is 1491388500.

LCM(38612,38625) = 1491388500

LCM Calculator and
and

Least Common Multiple of 38612 and 38625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38612 and 38625, than apply into the LCM equation.

GCF(38612,38625) = 1
LCM(38612,38625) = ( 38612 × 38625) / 1
LCM(38612,38625) = 1491388500 / 1
LCM(38612,38625) = 1491388500

Least Common Multiple (LCM) of 38612 and 38625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38612 and 38625. First we will calculate the prime factors of 38612 and 38625.

Prime Factorization of 38612

Prime factors of 38612 are 2, 7, 197. Prime factorization of 38612 in exponential form is:

38612 = 22 × 72 × 1971

Prime Factorization of 38625

Prime factors of 38625 are 3, 5, 103. Prime factorization of 38625 in exponential form is:

38625 = 31 × 53 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 38612 and 38625.

LCM(38612,38625) = 22 × 72 × 1971 × 31 × 53 × 1031
LCM(38612,38625) = 1491388500