What is the Least Common Multiple of 36072 and 36078?

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 36072 and 36078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36072 and 36078, than apply into the LCM equation.

GCF(36072,36078) = 6
LCM(36072,36078) = ( 36072 × 36078) / 6
LCM(36072,36078) = 1301405616 / 6
LCM(36072,36078) = 216900936

Least Common Multiple (LCM) of 36072 and 36078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36072 and 36078. First we will calculate the prime factors of 36072 and 36078.

Prime Factorization of 36072

Prime Factorization of 36078

Now multiplying the highest exponent prime factors to calculate the LCM of 36072 and 36078.

LCM(36072,36078) = 2³ × 3³ × 167¹ × 7¹ × 859¹
LCM(36072,36078) = 216900936