What is the Least Common Multiple of 18552 and 18572?

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 18552 and 18572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18552 and 18572, than apply into the LCM equation.

GCF(18552,18572) = 4
LCM(18552,18572) = ( 18552 × 18572) / 4
LCM(18552,18572) = 344547744 / 4
LCM(18552,18572) = 86136936

Least Common Multiple (LCM) of 18552 and 18572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18552 and 18572. First we will calculate the prime factors of 18552 and 18572.

Prime Factorization of 18552

Prime Factorization of 18572

Now multiplying the highest exponent prime factors to calculate the LCM of 18552 and 18572.

LCM(18552,18572) = 2³ × 3¹ × 773¹ × 4643¹
LCM(18552,18572) = 86136936