What is the Least Common Multiple of 2528 and 2545?

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 2528 and 2545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2528 and 2545, than apply into the LCM equation.

GCF(2528,2545) = 1
LCM(2528,2545) = ( 2528 × 2545) / 1
LCM(2528,2545) = 6433760 / 1
LCM(2528,2545) = 6433760

Least Common Multiple (LCM) of 2528 and 2545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2528 and 2545. First we will calculate the prime factors of 2528 and 2545.

Prime Factorization of 2528

Prime Factorization of 2545

Now multiplying the highest exponent prime factors to calculate the LCM of 2528 and 2545.

LCM(2528,2545) = 2⁵ × 79¹ × 5¹ × 509¹
LCM(2528,2545) = 6433760