What is the Least Common Multiple of 2538 and 2558?

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 2538 and 2558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2538 and 2558, than apply into the LCM equation.

GCF(2538,2558) = 2
LCM(2538,2558) = ( 2538 × 2558) / 2
LCM(2538,2558) = 6492204 / 2
LCM(2538,2558) = 3246102

Least Common Multiple (LCM) of 2538 and 2558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2538 and 2558. First we will calculate the prime factors of 2538 and 2558.

Prime Factorization of 2538

Prime Factorization of 2558

Now multiplying the highest exponent prime factors to calculate the LCM of 2538 and 2558.

LCM(2538,2558) = 2¹ × 3³ × 47¹ × 1279¹
LCM(2538,2558) = 3246102