What is the Least Common Multiple of 73470 and 73485?

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 73470 and 73485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73470 and 73485, than apply into the LCM equation.

GCF(73470,73485) = 15
LCM(73470,73485) = ( 73470 × 73485) / 15
LCM(73470,73485) = 5398942950 / 15
LCM(73470,73485) = 359929530

Least Common Multiple (LCM) of 73470 and 73485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73470 and 73485. First we will calculate the prime factors of 73470 and 73485.

Prime Factorization of 73470

Prime Factorization of 73485

Now multiplying the highest exponent prime factors to calculate the LCM of 73470 and 73485.

LCM(73470,73485) = 2¹ × 3² × 5¹ × 31¹ × 79¹ × 23¹ × 71¹
LCM(73470,73485) = 359929530