What is the Least Common Multiple of 36560 and 36574?

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 36560 and 36574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36560 and 36574, than apply into the LCM equation.

GCF(36560,36574) = 2
LCM(36560,36574) = ( 36560 × 36574) / 2
LCM(36560,36574) = 1337145440 / 2
LCM(36560,36574) = 668572720

Least Common Multiple (LCM) of 36560 and 36574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36560 and 36574. First we will calculate the prime factors of 36560 and 36574.

Prime Factorization of 36560

Prime Factorization of 36574

Now multiplying the highest exponent prime factors to calculate the LCM of 36560 and 36574.

LCM(36560,36574) = 2⁴ × 5¹ × 457¹ × 18287¹
LCM(36560,36574) = 668572720