What is the Least Common Multiple of 79545 and 79560?

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 79545 and 79560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79545 and 79560, than apply into the LCM equation.

GCF(79545,79560) = 15
LCM(79545,79560) = ( 79545 × 79560) / 15
LCM(79545,79560) = 6328600200 / 15
LCM(79545,79560) = 421906680

Least Common Multiple (LCM) of 79545 and 79560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79545 and 79560. First we will calculate the prime factors of 79545 and 79560.

Prime Factorization of 79545

Prime Factorization of 79560

Now multiplying the highest exponent prime factors to calculate the LCM of 79545 and 79560.

LCM(79545,79560) = 3² × 5¹ × 5303¹ × 2³ × 13¹ × 17¹
LCM(79545,79560) = 421906680