What is the Least Common Multiple of 2456 and 2470?

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 2456 and 2470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2456 and 2470, than apply into the LCM equation.

GCF(2456,2470) = 2
LCM(2456,2470) = ( 2456 × 2470) / 2
LCM(2456,2470) = 6066320 / 2
LCM(2456,2470) = 3033160

Least Common Multiple (LCM) of 2456 and 2470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2456 and 2470. First we will calculate the prime factors of 2456 and 2470.

Prime Factorization of 2456

Prime Factorization of 2470

Now multiplying the highest exponent prime factors to calculate the LCM of 2456 and 2470.

LCM(2456,2470) = 2³ × 307¹ × 5¹ × 13¹ × 19¹
LCM(2456,2470) = 3033160