What is the Least Common Multiple of 79075 and 79080?

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 79075 and 79080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79075 and 79080, than apply into the LCM equation.

GCF(79075,79080) = 5
LCM(79075,79080) = ( 79075 × 79080) / 5
LCM(79075,79080) = 6253251000 / 5
LCM(79075,79080) = 1250650200

Least Common Multiple (LCM) of 79075 and 79080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79075 and 79080. First we will calculate the prime factors of 79075 and 79080.

Prime Factorization of 79075

Prime Factorization of 79080

Now multiplying the highest exponent prime factors to calculate the LCM of 79075 and 79080.

LCM(79075,79080) = 5² × 3163¹ × 2³ × 3¹ × 659¹
LCM(79075,79080) = 1250650200