What is the Least Common Multiple of 79536 and 79545?

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 79536 and 79545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79536 and 79545, than apply into the LCM equation.

GCF(79536,79545) = 3
LCM(79536,79545) = ( 79536 × 79545) / 3
LCM(79536,79545) = 6326691120 / 3
LCM(79536,79545) = 2108897040

Least Common Multiple (LCM) of 79536 and 79545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79536 and 79545. First we will calculate the prime factors of 79536 and 79545.

Prime Factorization of 79536

Prime Factorization of 79545

Now multiplying the highest exponent prime factors to calculate the LCM of 79536 and 79545.

LCM(79536,79545) = 2⁴ × 3¹ × 1657¹ × 5¹ × 5303¹
LCM(79536,79545) = 2108897040