What is the Least Common Multiple of 36610 and 36628?

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 36610 and 36628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36610 and 36628, than apply into the LCM equation.

GCF(36610,36628) = 2
LCM(36610,36628) = ( 36610 × 36628) / 2
LCM(36610,36628) = 1340951080 / 2
LCM(36610,36628) = 670475540

Least Common Multiple (LCM) of 36610 and 36628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36610 and 36628. First we will calculate the prime factors of 36610 and 36628.

Prime Factorization of 36610

Prime Factorization of 36628

Now multiplying the highest exponent prime factors to calculate the LCM of 36610 and 36628.

LCM(36610,36628) = 2² × 5¹ × 7¹ × 523¹ × 9157¹
LCM(36610,36628) = 670475540