What is the Least Common Multiple of 52013 and 52020?

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 52013 and 52020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52013 and 52020, than apply into the LCM equation.

GCF(52013,52020) = 1
LCM(52013,52020) = ( 52013 × 52020) / 1
LCM(52013,52020) = 2705716260 / 1
LCM(52013,52020) = 2705716260

Least Common Multiple (LCM) of 52013 and 52020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52013 and 52020. First we will calculate the prime factors of 52013 and 52020.

Prime Factorization of 52013

Prime Factorization of 52020

Now multiplying the highest exponent prime factors to calculate the LCM of 52013 and 52020.

LCM(52013,52020) = 13¹ × 4001¹ × 2² × 3² × 5¹ × 17²
LCM(52013,52020) = 2705716260