What is the Least Common Multiple of 18552 and 18567?

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 18567 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 18567, than apply into the LCM equation.

GCF(18552,18567) = 3
LCM(18552,18567) = ( 18552 × 18567) / 3
LCM(18552,18567) = 344454984 / 3
LCM(18552,18567) = 114818328

Least Common Multiple (LCM) of 18552 and 18567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18552 and 18567. First we will calculate the prime factors of 18552 and 18567.

Prime Factorization of 18552

Prime Factorization of 18567

Now multiplying the highest exponent prime factors to calculate the LCM of 18552 and 18567.

LCM(18552,18567) = 2³ × 3² × 773¹ × 2063¹
LCM(18552,18567) = 114818328