What is the Least Common Multiple of 2506 and 2514?

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 2506 and 2514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2506 and 2514, than apply into the LCM equation.

GCF(2506,2514) = 2
LCM(2506,2514) = ( 2506 × 2514) / 2
LCM(2506,2514) = 6300084 / 2
LCM(2506,2514) = 3150042

Least Common Multiple (LCM) of 2506 and 2514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2506 and 2514. First we will calculate the prime factors of 2506 and 2514.

Prime Factorization of 2506

Prime Factorization of 2514

Now multiplying the highest exponent prime factors to calculate the LCM of 2506 and 2514.

LCM(2506,2514) = 2¹ × 7¹ × 179¹ × 3¹ × 419¹
LCM(2506,2514) = 3150042