What is the Least Common Multiple of 79095 and 79110?

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 79095 and 79110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79095 and 79110, than apply into the LCM equation.

GCF(79095,79110) = 15
LCM(79095,79110) = ( 79095 × 79110) / 15
LCM(79095,79110) = 6257205450 / 15
LCM(79095,79110) = 417147030

Least Common Multiple (LCM) of 79095 and 79110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79095 and 79110. First we will calculate the prime factors of 79095 and 79110.

Prime Factorization of 79095

Prime Factorization of 79110

Now multiplying the highest exponent prime factors to calculate the LCM of 79095 and 79110.

LCM(79095,79110) = 3³ × 5¹ × 5273¹ × 2¹ × 293¹
LCM(79095,79110) = 417147030