What is the Least Common Multiple of 36324 and 36342?

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 36324 and 36342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36324 and 36342, than apply into the LCM equation.

GCF(36324,36342) = 18
LCM(36324,36342) = ( 36324 × 36342) / 18
LCM(36324,36342) = 1320086808 / 18
LCM(36324,36342) = 73338156

Least Common Multiple (LCM) of 36324 and 36342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36324 and 36342. First we will calculate the prime factors of 36324 and 36342.

Prime Factorization of 36324

Prime Factorization of 36342

Now multiplying the highest exponent prime factors to calculate the LCM of 36324 and 36342.

LCM(36324,36342) = 2² × 3³ × 1009¹ × 673¹
LCM(36324,36342) = 73338156