What is the Least Common Multiple of 79460 and 79475?

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 79460 and 79475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79460 and 79475, than apply into the LCM equation.

GCF(79460,79475) = 5
LCM(79460,79475) = ( 79460 × 79475) / 5
LCM(79460,79475) = 6315083500 / 5
LCM(79460,79475) = 1263016700

Least Common Multiple (LCM) of 79460 and 79475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79460 and 79475. First we will calculate the prime factors of 79460 and 79475.

Prime Factorization of 79460

Prime Factorization of 79475

Now multiplying the highest exponent prime factors to calculate the LCM of 79460 and 79475.

LCM(79460,79475) = 2² × 5² × 29¹ × 137¹ × 11¹ × 17²
LCM(79460,79475) = 1263016700