What is the Least Common Multiple of 10020 and 10039?

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 10020 and 10039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10020 and 10039, than apply into the LCM equation.

GCF(10020,10039) = 1
LCM(10020,10039) = ( 10020 × 10039) / 1
LCM(10020,10039) = 100590780 / 1
LCM(10020,10039) = 100590780

Least Common Multiple (LCM) of 10020 and 10039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10020 and 10039. First we will calculate the prime factors of 10020 and 10039.

Prime Factorization of 10020

Prime Factorization of 10039

Now multiplying the highest exponent prime factors to calculate the LCM of 10020 and 10039.

LCM(10020,10039) = 2² × 3¹ × 5¹ × 167¹ × 10039¹
LCM(10020,10039) = 100590780