What is the Least Common Multiple of 79545 and 79557?

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 79557 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 79557, than apply into the LCM equation.

GCF(79545,79557) = 3
LCM(79545,79557) = ( 79545 × 79557) / 3
LCM(79545,79557) = 6328361565 / 3
LCM(79545,79557) = 2109453855

Least Common Multiple (LCM) of 79545 and 79557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79545 and 79557. First we will calculate the prime factors of 79545 and 79557.

Prime Factorization of 79545

Prime Factorization of 79557

Now multiplying the highest exponent prime factors to calculate the LCM of 79545 and 79557.

LCM(79545,79557) = 3¹ × 5¹ × 5303¹ × 23¹ × 1153¹
LCM(79545,79557) = 2109453855