What is the Least Common Multiple of 2478 and 2496?

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 2478 and 2496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2478 and 2496, than apply into the LCM equation.

GCF(2478,2496) = 6
LCM(2478,2496) = ( 2478 × 2496) / 6
LCM(2478,2496) = 6185088 / 6
LCM(2478,2496) = 1030848

Least Common Multiple (LCM) of 2478 and 2496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2478 and 2496. First we will calculate the prime factors of 2478 and 2496.

Prime Factorization of 2478

Prime Factorization of 2496

Now multiplying the highest exponent prime factors to calculate the LCM of 2478 and 2496.

LCM(2478,2496) = 2⁶ × 3¹ × 7¹ × 59¹ × 13¹
LCM(2478,2496) = 1030848