What is the Least Common Multiple of 79420 and 79435?

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 79420 and 79435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79420 and 79435, than apply into the LCM equation.

GCF(79420,79435) = 5
LCM(79420,79435) = ( 79420 × 79435) / 5
LCM(79420,79435) = 6308727700 / 5
LCM(79420,79435) = 1261745540

Least Common Multiple (LCM) of 79420 and 79435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79420 and 79435. First we will calculate the prime factors of 79420 and 79435.

Prime Factorization of 79420

Prime Factorization of 79435

Now multiplying the highest exponent prime factors to calculate the LCM of 79420 and 79435.

LCM(79420,79435) = 2² × 5¹ × 11¹ × 19² × 15887¹
LCM(79420,79435) = 1261745540