What is the Least Common Multiple of 36560 and 36570?

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 36570 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 36570, than apply into the LCM equation.

GCF(36560,36570) = 10
LCM(36560,36570) = ( 36560 × 36570) / 10
LCM(36560,36570) = 1336999200 / 10
LCM(36560,36570) = 133699920

Least Common Multiple (LCM) of 36560 and 36570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36560 and 36570. First we will calculate the prime factors of 36560 and 36570.

Prime Factorization of 36560

Prime Factorization of 36570

Now multiplying the highest exponent prime factors to calculate the LCM of 36560 and 36570.

LCM(36560,36570) = 2⁴ × 5¹ × 457¹ × 3¹ × 23¹ × 53¹
LCM(36560,36570) = 133699920