What is the Least Common Multiple of 4020 and 4038?

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 4020 and 4038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4020 and 4038, than apply into the LCM equation.

GCF(4020,4038) = 6
LCM(4020,4038) = ( 4020 × 4038) / 6
LCM(4020,4038) = 16232760 / 6
LCM(4020,4038) = 2705460

Least Common Multiple (LCM) of 4020 and 4038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4020 and 4038. First we will calculate the prime factors of 4020 and 4038.

Prime Factorization of 4020

Prime Factorization of 4038

Now multiplying the highest exponent prime factors to calculate the LCM of 4020 and 4038.

LCM(4020,4038) = 2² × 3¹ × 5¹ × 67¹ × 673¹
LCM(4020,4038) = 2705460