What is the Least Common Multiple of 36574 and 36580?

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 36574 and 36580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36574 and 36580, than apply into the LCM equation.

GCF(36574,36580) = 2
LCM(36574,36580) = ( 36574 × 36580) / 2
LCM(36574,36580) = 1337876920 / 2
LCM(36574,36580) = 668938460

Least Common Multiple (LCM) of 36574 and 36580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36574 and 36580. First we will calculate the prime factors of 36574 and 36580.

Prime Factorization of 36574

Prime Factorization of 36580

Now multiplying the highest exponent prime factors to calculate the LCM of 36574 and 36580.

LCM(36574,36580) = 2² × 18287¹ × 5¹ × 31¹ × 59¹
LCM(36574,36580) = 668938460