What is the Least Common Multiple of 79545 and 79555?

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 79555 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 79555, than apply into the LCM equation.

GCF(79545,79555) = 5
LCM(79545,79555) = ( 79545 × 79555) / 5
LCM(79545,79555) = 6328202475 / 5
LCM(79545,79555) = 1265640495

Least Common Multiple (LCM) of 79545 and 79555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79545 and 79555. First we will calculate the prime factors of 79545 and 79555.

Prime Factorization of 79545

Prime Factorization of 79555

Now multiplying the highest exponent prime factors to calculate the LCM of 79545 and 79555.

LCM(79545,79555) = 3¹ × 5¹ × 5303¹ × 7¹ × 2273¹
LCM(79545,79555) = 1265640495