What is the Least Common Multiple of 36597 and 36610?

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 36597 and 36610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36597 and 36610, than apply into the LCM equation.

GCF(36597,36610) = 1
LCM(36597,36610) = ( 36597 × 36610) / 1
LCM(36597,36610) = 1339816170 / 1
LCM(36597,36610) = 1339816170

Least Common Multiple (LCM) of 36597 and 36610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36597 and 36610. First we will calculate the prime factors of 36597 and 36610.

Prime Factorization of 36597

Prime Factorization of 36610

Now multiplying the highest exponent prime factors to calculate the LCM of 36597 and 36610.

LCM(36597,36610) = 3¹ × 11¹ × 1109¹ × 2¹ × 5¹ × 7¹ × 523¹
LCM(36597,36610) = 1339816170