What is the Least Common Multiple of 36516 and 36529?

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 36516 and 36529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36516 and 36529, than apply into the LCM equation.

GCF(36516,36529) = 1
LCM(36516,36529) = ( 36516 × 36529) / 1
LCM(36516,36529) = 1333892964 / 1
LCM(36516,36529) = 1333892964

Least Common Multiple (LCM) of 36516 and 36529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36516 and 36529. First we will calculate the prime factors of 36516 and 36529.

Prime Factorization of 36516

Prime Factorization of 36529

Now multiplying the highest exponent prime factors to calculate the LCM of 36516 and 36529.

LCM(36516,36529) = 2² × 3¹ × 17¹ × 179¹ × 36529¹
LCM(36516,36529) = 1333892964