GCF and LCM Calculator Logo

What is the Least Common Multiple of 79370 and 79387?

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 79370 and 79387 is 6300946190.

LCM(79370,79387) = 6300946190

LCM Calculator and
and

Least Common Multiple of 79370 and 79387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79370 and 79387, than apply into the LCM equation.

GCF(79370,79387) = 1
LCM(79370,79387) = ( 79370 × 79387) / 1
LCM(79370,79387) = 6300946190 / 1
LCM(79370,79387) = 6300946190

Least Common Multiple (LCM) of 79370 and 79387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79370 and 79387. First we will calculate the prime factors of 79370 and 79387.

Prime Factorization of 79370

Prime factors of 79370 are 2, 5, 7937. Prime factorization of 79370 in exponential form is:

79370 = 21 × 51 × 79371

Prime Factorization of 79387

Prime factors of 79387 are 7, 11, 1031. Prime factorization of 79387 in exponential form is:

79387 = 71 × 111 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 79370 and 79387.

LCM(79370,79387) = 21 × 51 × 79371 × 71 × 111 × 10311
LCM(79370,79387) = 6300946190