What is the Least Common Multiple of 73213 and 73230?

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 73213 and 73230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73213 and 73230, than apply into the LCM equation.

GCF(73213,73230) = 1
LCM(73213,73230) = ( 73213 × 73230) / 1
LCM(73213,73230) = 5361387990 / 1
LCM(73213,73230) = 5361387990

Least Common Multiple (LCM) of 73213 and 73230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73213 and 73230. First we will calculate the prime factors of 73213 and 73230.

Prime Factorization of 73213

Prime Factorization of 73230

Now multiplying the highest exponent prime factors to calculate the LCM of 73213 and 73230.

LCM(73213,73230) = 7¹ × 10459¹ × 2¹ × 3¹ × 5¹ × 2441¹
LCM(73213,73230) = 5361387990