What is the Least Common Multiple of 36042 and 36054?

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 36042 and 36054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36042 and 36054, than apply into the LCM equation.

GCF(36042,36054) = 6
LCM(36042,36054) = ( 36042 × 36054) / 6
LCM(36042,36054) = 1299458268 / 6
LCM(36042,36054) = 216576378

Least Common Multiple (LCM) of 36042 and 36054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36042 and 36054. First we will calculate the prime factors of 36042 and 36054.

Prime Factorization of 36042

Prime Factorization of 36054

Now multiplying the highest exponent prime factors to calculate the LCM of 36042 and 36054.

LCM(36042,36054) = 2¹ × 3² × 6007¹ × 2003¹
LCM(36042,36054) = 216576378