What is the Least Common Multiple of 73013 and 73020?

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 73013 and 73020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73013 and 73020, than apply into the LCM equation.

GCF(73013,73020) = 1
LCM(73013,73020) = ( 73013 × 73020) / 1
LCM(73013,73020) = 5331409260 / 1
LCM(73013,73020) = 5331409260

Least Common Multiple (LCM) of 73013 and 73020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73013 and 73020. First we will calculate the prime factors of 73013 and 73020.

Prime Factorization of 73013

Prime Factorization of 73020

Now multiplying the highest exponent prime factors to calculate the LCM of 73013 and 73020.

LCM(73013,73020) = 73013¹ × 2² × 3¹ × 5¹ × 1217¹
LCM(73013,73020) = 5331409260