What is the Least Common Multiple of 36824 and 36836?

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 36824 and 36836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36824 and 36836, than apply into the LCM equation.

GCF(36824,36836) = 4
LCM(36824,36836) = ( 36824 × 36836) / 4
LCM(36824,36836) = 1356448864 / 4
LCM(36824,36836) = 339112216

Least Common Multiple (LCM) of 36824 and 36836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36824 and 36836. First we will calculate the prime factors of 36824 and 36836.

Prime Factorization of 36824

Prime Factorization of 36836

Now multiplying the highest exponent prime factors to calculate the LCM of 36824 and 36836.

LCM(36824,36836) = 2³ × 4603¹ × 9209¹
LCM(36824,36836) = 339112216