What is the Least Common Multiple of 73567 and 73572?

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 73567 and 73572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73567 and 73572, than apply into the LCM equation.

GCF(73567,73572) = 1
LCM(73567,73572) = ( 73567 × 73572) / 1
LCM(73567,73572) = 5412471324 / 1
LCM(73567,73572) = 5412471324

Least Common Multiple (LCM) of 73567 and 73572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73567 and 73572. First we will calculate the prime factors of 73567 and 73572.

Prime Factorization of 73567

Prime Factorization of 73572

Now multiplying the highest exponent prime factors to calculate the LCM of 73567 and 73572.

LCM(73567,73572) = 13¹ × 5659¹ × 2² × 3¹ × 6131¹
LCM(73567,73572) = 5412471324