What is the Least Common Multiple of 2514 and 2523?

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 2514 and 2523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2514 and 2523, than apply into the LCM equation.

GCF(2514,2523) = 3
LCM(2514,2523) = ( 2514 × 2523) / 3
LCM(2514,2523) = 6342822 / 3
LCM(2514,2523) = 2114274

Least Common Multiple (LCM) of 2514 and 2523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2514 and 2523. First we will calculate the prime factors of 2514 and 2523.

Prime Factorization of 2514

Prime Factorization of 2523

Now multiplying the highest exponent prime factors to calculate the LCM of 2514 and 2523.

LCM(2514,2523) = 2¹ × 3¹ × 419¹ × 29²
LCM(2514,2523) = 2114274