GCF and LCM Calculator Logo

What is the Least Common Multiple of 77371 and 77391?

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 77371 and 77391 is 5987819061.

LCM(77371,77391) = 5987819061

LCM Calculator and
and

Least Common Multiple of 77371 and 77391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77371 and 77391, than apply into the LCM equation.

GCF(77371,77391) = 1
LCM(77371,77391) = ( 77371 × 77391) / 1
LCM(77371,77391) = 5987819061 / 1
LCM(77371,77391) = 5987819061

Least Common Multiple (LCM) of 77371 and 77391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77371 and 77391. First we will calculate the prime factors of 77371 and 77391.

Prime Factorization of 77371

Prime factors of 77371 are 7, 1579. Prime factorization of 77371 in exponential form is:

77371 = 72 × 15791

Prime Factorization of 77391

Prime factors of 77391 are 3, 8599. Prime factorization of 77391 in exponential form is:

77391 = 32 × 85991

Now multiplying the highest exponent prime factors to calculate the LCM of 77371 and 77391.

LCM(77371,77391) = 72 × 15791 × 32 × 85991
LCM(77371,77391) = 5987819061