What is the Least Common Multiple of 73564 and 73568?

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 73564 and 73568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73564 and 73568, than apply into the LCM equation.

GCF(73564,73568) = 4
LCM(73564,73568) = ( 73564 × 73568) / 4
LCM(73564,73568) = 5411956352 / 4
LCM(73564,73568) = 1352989088

Least Common Multiple (LCM) of 73564 and 73568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73564 and 73568. First we will calculate the prime factors of 73564 and 73568.

Prime Factorization of 73564

Prime Factorization of 73568

Now multiplying the highest exponent prime factors to calculate the LCM of 73564 and 73568.

LCM(73564,73568) = 2⁵ × 53¹ × 347¹ × 11² × 19¹
LCM(73564,73568) = 1352989088