What is the Least Common Multiple of 36128 and 36142?

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 36128 and 36142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36128 and 36142, than apply into the LCM equation.

GCF(36128,36142) = 2
LCM(36128,36142) = ( 36128 × 36142) / 2
LCM(36128,36142) = 1305738176 / 2
LCM(36128,36142) = 652869088

Least Common Multiple (LCM) of 36128 and 36142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36128 and 36142. First we will calculate the prime factors of 36128 and 36142.

Prime Factorization of 36128

Prime Factorization of 36142

Now multiplying the highest exponent prime factors to calculate the LCM of 36128 and 36142.

LCM(36128,36142) = 2⁵ × 1129¹ × 17¹ × 1063¹
LCM(36128,36142) = 652869088