What is the Least Common Multiple of 60645 and 60657?

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 60645 and 60657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60645 and 60657, than apply into the LCM equation.

GCF(60645,60657) = 3
LCM(60645,60657) = ( 60645 × 60657) / 3
LCM(60645,60657) = 3678543765 / 3
LCM(60645,60657) = 1226181255

Least Common Multiple (LCM) of 60645 and 60657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60645 and 60657. First we will calculate the prime factors of 60645 and 60657.

Prime Factorization of 60645

Prime Factorization of 60657

Now multiplying the highest exponent prime factors to calculate the LCM of 60645 and 60657.

LCM(60645,60657) = 3¹ × 5¹ × 13¹ × 311¹ × 20219¹
LCM(60645,60657) = 1226181255