GCF and LCM Calculator Logo

What is the Least Common Multiple of 97077 and 97095?

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 97077 and 97095 is 3141897105.

LCM(97077,97095) = 3141897105

LCM Calculator and
and

Least Common Multiple of 97077 and 97095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97077 and 97095, than apply into the LCM equation.

GCF(97077,97095) = 3
LCM(97077,97095) = ( 97077 × 97095) / 3
LCM(97077,97095) = 9425691315 / 3
LCM(97077,97095) = 3141897105

Least Common Multiple (LCM) of 97077 and 97095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97077 and 97095. First we will calculate the prime factors of 97077 and 97095.

Prime Factorization of 97077

Prime factors of 97077 are 3, 32359. Prime factorization of 97077 in exponential form is:

97077 = 31 × 323591

Prime Factorization of 97095

Prime factors of 97095 are 3, 5, 6473. Prime factorization of 97095 in exponential form is:

97095 = 31 × 51 × 64731

Now multiplying the highest exponent prime factors to calculate the LCM of 97077 and 97095.

LCM(97077,97095) = 31 × 323591 × 51 × 64731
LCM(97077,97095) = 3141897105