What is the Least Common Multiple of 36404 and 36424?

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 36404 and 36424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36404 and 36424, than apply into the LCM equation.

GCF(36404,36424) = 4
LCM(36404,36424) = ( 36404 × 36424) / 4
LCM(36404,36424) = 1325979296 / 4
LCM(36404,36424) = 331494824

Least Common Multiple (LCM) of 36404 and 36424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36404 and 36424. First we will calculate the prime factors of 36404 and 36424.

Prime Factorization of 36404

Prime Factorization of 36424

Now multiplying the highest exponent prime factors to calculate the LCM of 36404 and 36424.

LCM(36404,36424) = 2³ × 19¹ × 479¹ × 29¹ × 157¹
LCM(36404,36424) = 331494824