What is the Least Common Multiple of 67530 and 67545?

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 67530 and 67545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67530 and 67545, than apply into the LCM equation.

GCF(67530,67545) = 15
LCM(67530,67545) = ( 67530 × 67545) / 15
LCM(67530,67545) = 4561313850 / 15
LCM(67530,67545) = 304087590

Least Common Multiple (LCM) of 67530 and 67545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67530 and 67545. First we will calculate the prime factors of 67530 and 67545.

Prime Factorization of 67530

Prime Factorization of 67545

Now multiplying the highest exponent prime factors to calculate the LCM of 67530 and 67545.

LCM(67530,67545) = 2¹ × 3² × 5¹ × 2251¹ × 19¹ × 79¹
LCM(67530,67545) = 304087590