What is the Least Common Multiple of 36074 and 36082?

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 36074 and 36082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36074 and 36082, than apply into the LCM equation.

GCF(36074,36082) = 2
LCM(36074,36082) = ( 36074 × 36082) / 2
LCM(36074,36082) = 1301622068 / 2
LCM(36074,36082) = 650811034

Least Common Multiple (LCM) of 36074 and 36082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36074 and 36082. First we will calculate the prime factors of 36074 and 36082.

Prime Factorization of 36074

Prime Factorization of 36082

Now multiplying the highest exponent prime factors to calculate the LCM of 36074 and 36082.

LCM(36074,36082) = 2¹ × 17¹ × 1061¹ × 18041¹
LCM(36074,36082) = 650811034