What is the Least Common Multiple of 79080 and 79095?

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 79080 and 79095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79080 and 79095, than apply into the LCM equation.

GCF(79080,79095) = 15
LCM(79080,79095) = ( 79080 × 79095) / 15
LCM(79080,79095) = 6254832600 / 15
LCM(79080,79095) = 416988840

Least Common Multiple (LCM) of 79080 and 79095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79080 and 79095. First we will calculate the prime factors of 79080 and 79095.

Prime Factorization of 79080

Prime Factorization of 79095

Now multiplying the highest exponent prime factors to calculate the LCM of 79080 and 79095.

LCM(79080,79095) = 2³ × 3¹ × 5¹ × 659¹ × 5273¹
LCM(79080,79095) = 416988840