What is the Least Common Multiple of 36406 and 36418?

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 36406 and 36418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36406 and 36418, than apply into the LCM equation.

GCF(36406,36418) = 2
LCM(36406,36418) = ( 36406 × 36418) / 2
LCM(36406,36418) = 1325833708 / 2
LCM(36406,36418) = 662916854

Least Common Multiple (LCM) of 36406 and 36418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36406 and 36418. First we will calculate the prime factors of 36406 and 36418.

Prime Factorization of 36406

Prime Factorization of 36418

Now multiplying the highest exponent prime factors to calculate the LCM of 36406 and 36418.

LCM(36406,36418) = 2¹ × 109¹ × 167¹ × 131¹ × 139¹
LCM(36406,36418) = 662916854