What is the Least Common Multiple of 4038 and 4057?

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 4057 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 4057, than apply into the LCM equation.

GCF(4038,4057) = 1
LCM(4038,4057) = ( 4038 × 4057) / 1
LCM(4038,4057) = 16382166 / 1
LCM(4038,4057) = 16382166

Least Common Multiple (LCM) of 4038 and 4057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4038 and 4057. First we will calculate the prime factors of 4038 and 4057.

Prime Factorization of 4038

Prime Factorization of 4057

Now multiplying the highest exponent prime factors to calculate the LCM of 4038 and 4057.

LCM(4038,4057) = 2¹ × 3¹ × 673¹ × 4057¹
LCM(4038,4057) = 16382166