What is the Least Common Multiple of 79475 and 79490?

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 79475 and 79490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79475 and 79490, than apply into the LCM equation.

GCF(79475,79490) = 5
LCM(79475,79490) = ( 79475 × 79490) / 5
LCM(79475,79490) = 6317467750 / 5
LCM(79475,79490) = 1263493550

Least Common Multiple (LCM) of 79475 and 79490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79475 and 79490. First we will calculate the prime factors of 79475 and 79490.

Prime Factorization of 79475

Prime Factorization of 79490

Now multiplying the highest exponent prime factors to calculate the LCM of 79475 and 79490.

LCM(79475,79490) = 5² × 11¹ × 17² × 2¹ × 7949¹
LCM(79475,79490) = 1263493550