What is the Least Common Multiple of 4038 and 4053?

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 4038 and 4053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4038 and 4053, than apply into the LCM equation.

GCF(4038,4053) = 3
LCM(4038,4053) = ( 4038 × 4053) / 3
LCM(4038,4053) = 16366014 / 3
LCM(4038,4053) = 5455338

Least Common Multiple (LCM) of 4038 and 4053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4038 and 4053. First we will calculate the prime factors of 4038 and 4053.

Prime Factorization of 4038

Prime Factorization of 4053

Now multiplying the highest exponent prime factors to calculate the LCM of 4038 and 4053.

LCM(4038,4053) = 2¹ × 3¹ × 673¹ × 7¹ × 193¹
LCM(4038,4053) = 5455338