What is the Least Common Multiple of 36412 and 36422?

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 36412 and 36422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36412 and 36422, than apply into the LCM equation.

GCF(36412,36422) = 2
LCM(36412,36422) = ( 36412 × 36422) / 2
LCM(36412,36422) = 1326197864 / 2
LCM(36412,36422) = 663098932

Least Common Multiple (LCM) of 36412 and 36422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36412 and 36422. First we will calculate the prime factors of 36412 and 36422.

Prime Factorization of 36412

Prime Factorization of 36422

Now multiplying the highest exponent prime factors to calculate the LCM of 36412 and 36422.

LCM(36412,36422) = 2² × 9103¹ × 18211¹
LCM(36412,36422) = 663098932