What is the Least Common Multiple of 18324 and 18330?

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 18324 and 18330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18324 and 18330, than apply into the LCM equation.

GCF(18324,18330) = 6
LCM(18324,18330) = ( 18324 × 18330) / 6
LCM(18324,18330) = 335878920 / 6
LCM(18324,18330) = 55979820

Least Common Multiple (LCM) of 18324 and 18330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18324 and 18330. First we will calculate the prime factors of 18324 and 18330.

Prime Factorization of 18324

Prime Factorization of 18330

Now multiplying the highest exponent prime factors to calculate the LCM of 18324 and 18330.

LCM(18324,18330) = 2² × 3² × 509¹ × 5¹ × 13¹ × 47¹
LCM(18324,18330) = 55979820