GCF and LCM Calculator Logo

What is the Least Common Multiple of 15957 and 15963?

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 15957 and 15963 is 84907197.

LCM(15957,15963) = 84907197

LCM Calculator and
and

Least Common Multiple of 15957 and 15963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15957 and 15963, than apply into the LCM equation.

GCF(15957,15963) = 3
LCM(15957,15963) = ( 15957 × 15963) / 3
LCM(15957,15963) = 254721591 / 3
LCM(15957,15963) = 84907197

Least Common Multiple (LCM) of 15957 and 15963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15957 and 15963. First we will calculate the prime factors of 15957 and 15963.

Prime Factorization of 15957

Prime factors of 15957 are 3, 197. Prime factorization of 15957 in exponential form is:

15957 = 34 × 1971

Prime Factorization of 15963

Prime factors of 15963 are 3, 17, 313. Prime factorization of 15963 in exponential form is:

15963 = 31 × 171 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 15957 and 15963.

LCM(15957,15963) = 34 × 1971 × 171 × 3131
LCM(15957,15963) = 84907197