What is the Least Common Multiple of 18564 and 18576?

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 18564 and 18576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18564 and 18576, than apply into the LCM equation.

GCF(18564,18576) = 12
LCM(18564,18576) = ( 18564 × 18576) / 12
LCM(18564,18576) = 344844864 / 12
LCM(18564,18576) = 28737072

Least Common Multiple (LCM) of 18564 and 18576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18564 and 18576. First we will calculate the prime factors of 18564 and 18576.

Prime Factorization of 18564

Prime Factorization of 18576

Now multiplying the highest exponent prime factors to calculate the LCM of 18564 and 18576.

LCM(18564,18576) = 2⁴ × 3³ × 7¹ × 13¹ × 17¹ × 43¹
LCM(18564,18576) = 28737072