What is the Least Common Multiple of 2535 and 2555?

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 2555 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 2555, than apply into the LCM equation.

GCF(2535,2555) = 5
LCM(2535,2555) = ( 2535 × 2555) / 5
LCM(2535,2555) = 6476925 / 5
LCM(2535,2555) = 1295385

Least Common Multiple (LCM) of 2535 and 2555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2535 and 2555. First we will calculate the prime factors of 2535 and 2555.

Prime Factorization of 2535

Prime Factorization of 2555

Now multiplying the highest exponent prime factors to calculate the LCM of 2535 and 2555.

LCM(2535,2555) = 3¹ × 5¹ × 13² × 7¹ × 73¹
LCM(2535,2555) = 1295385