What is the Least Common Multiple of 36510 and 36520?

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 36510 and 36520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36510 and 36520, than apply into the LCM equation.

GCF(36510,36520) = 10
LCM(36510,36520) = ( 36510 × 36520) / 10
LCM(36510,36520) = 1333345200 / 10
LCM(36510,36520) = 133334520

Least Common Multiple (LCM) of 36510 and 36520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36510 and 36520. First we will calculate the prime factors of 36510 and 36520.

Prime Factorization of 36510

Prime Factorization of 36520

Now multiplying the highest exponent prime factors to calculate the LCM of 36510 and 36520.

LCM(36510,36520) = 2³ × 3¹ × 5¹ × 1217¹ × 11¹ × 83¹
LCM(36510,36520) = 133334520