What is the Least Common Multiple of 36156 and 36176?

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 36156 and 36176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36156 and 36176, than apply into the LCM equation.

GCF(36156,36176) = 4
LCM(36156,36176) = ( 36156 × 36176) / 4
LCM(36156,36176) = 1307979456 / 4
LCM(36156,36176) = 326994864

Least Common Multiple (LCM) of 36156 and 36176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36156 and 36176. First we will calculate the prime factors of 36156 and 36176.

Prime Factorization of 36156

Prime Factorization of 36176

Now multiplying the highest exponent prime factors to calculate the LCM of 36156 and 36176.

LCM(36156,36176) = 2⁴ × 3¹ × 23¹ × 131¹ × 7¹ × 17¹ × 19¹
LCM(36156,36176) = 326994864