What is the Least Common Multiple of 73512 and 73530?

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 73512 and 73530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73512 and 73530, than apply into the LCM equation.

GCF(73512,73530) = 18
LCM(73512,73530) = ( 73512 × 73530) / 18
LCM(73512,73530) = 5405337360 / 18
LCM(73512,73530) = 300296520

Least Common Multiple (LCM) of 73512 and 73530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73512 and 73530. First we will calculate the prime factors of 73512 and 73530.

Prime Factorization of 73512

Prime Factorization of 73530

Now multiplying the highest exponent prime factors to calculate the LCM of 73512 and 73530.

LCM(73512,73530) = 2³ × 3² × 1021¹ × 5¹ × 19¹ × 43¹
LCM(73512,73530) = 300296520