What is the Least Common Multiple of 2544 and 2562?

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 2544 and 2562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2544 and 2562, than apply into the LCM equation.

GCF(2544,2562) = 6
LCM(2544,2562) = ( 2544 × 2562) / 6
LCM(2544,2562) = 6517728 / 6
LCM(2544,2562) = 1086288

Least Common Multiple (LCM) of 2544 and 2562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2544 and 2562. First we will calculate the prime factors of 2544 and 2562.

Prime Factorization of 2544

Prime Factorization of 2562

Now multiplying the highest exponent prime factors to calculate the LCM of 2544 and 2562.

LCM(2544,2562) = 2⁴ × 3¹ × 53¹ × 7¹ × 61¹
LCM(2544,2562) = 1086288