What is the Least Common Multiple of 73470 and 73489?

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 73489 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 73489, than apply into the LCM equation.

GCF(73470,73489) = 1
LCM(73470,73489) = ( 73470 × 73489) / 1
LCM(73470,73489) = 5399236830 / 1
LCM(73470,73489) = 5399236830

Least Common Multiple (LCM) of 73470 and 73489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73470 and 73489. First we will calculate the prime factors of 73470 and 73489.

Prime Factorization of 73470

Prime Factorization of 73489

Now multiplying the highest exponent prime factors to calculate the LCM of 73470 and 73489.

LCM(73470,73489) = 2¹ × 3¹ × 5¹ × 31¹ × 79¹ × 13¹ × 5653¹
LCM(73470,73489) = 5399236830