What is the Least Common Multiple of 18534 and 18552?

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 18534 and 18552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18534 and 18552, than apply into the LCM equation.

GCF(18534,18552) = 6
LCM(18534,18552) = ( 18534 × 18552) / 6
LCM(18534,18552) = 343842768 / 6
LCM(18534,18552) = 57307128

Least Common Multiple (LCM) of 18534 and 18552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18534 and 18552. First we will calculate the prime factors of 18534 and 18552.

Prime Factorization of 18534

Prime Factorization of 18552

Now multiplying the highest exponent prime factors to calculate the LCM of 18534 and 18552.

LCM(18534,18552) = 2³ × 3¹ × 3089¹ × 773¹
LCM(18534,18552) = 57307128