What is the Least Common Multiple of 60547 and 60567?

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 60547 and 60567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60547 and 60567, than apply into the LCM equation.

GCF(60547,60567) = 1
LCM(60547,60567) = ( 60547 × 60567) / 1
LCM(60547,60567) = 3667150149 / 1
LCM(60547,60567) = 3667150149

Least Common Multiple (LCM) of 60547 and 60567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60547 and 60567. First we will calculate the prime factors of 60547 and 60567.

Prime Factorization of 60547

Prime Factorization of 60567

Now multiplying the highest exponent prime factors to calculate the LCM of 60547 and 60567.

LCM(60547,60567) = 191¹ × 317¹ × 3¹ × 13¹ × 1553¹
LCM(60547,60567) = 3667150149