What is the Least Common Multiple of 79374 and 79385?

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 of 79374 and 79385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79374 and 79385, than apply into the LCM equation.

GCF(79374,79385) = 1
LCM(79374,79385) = ( 79374 × 79385) / 1
LCM(79374,79385) = 6301104990 / 1
LCM(79374,79385) = 6301104990

Least Common Multiple (LCM) of 79374 and 79385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79374 and 79385. First we will calculate the prime factors of 79374 and 79385.

Prime Factorization of 79374

Prime Factorization of 79385

Now multiplying the highest exponent prime factors to calculate the LCM of 79374 and 79385.

LCM(79374,79385) = 2¹ × 3¹ × 13229¹ × 5¹ × 15877¹
LCM(79374,79385) = 6301104990