What is the Least Common Multiple of 2535 and 2551?

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 2535 and 2551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2535 and 2551, than apply into the LCM equation.

GCF(2535,2551) = 1
LCM(2535,2551) = ( 2535 × 2551) / 1
LCM(2535,2551) = 6466785 / 1
LCM(2535,2551) = 6466785

Least Common Multiple (LCM) of 2535 and 2551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2535 and 2551. First we will calculate the prime factors of 2535 and 2551.

Prime Factorization of 2535

Prime Factorization of 2551

Now multiplying the highest exponent prime factors to calculate the LCM of 2535 and 2551.

LCM(2535,2551) = 3¹ × 5¹ × 13² × 2551¹
LCM(2535,2551) = 6466785