What is the Least Common Multiple of 49696 and 49703?

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 49696 and 49703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49696 and 49703, than apply into the LCM equation.

GCF(49696,49703) = 1
LCM(49696,49703) = ( 49696 × 49703) / 1
LCM(49696,49703) = 2470040288 / 1
LCM(49696,49703) = 2470040288

Least Common Multiple (LCM) of 49696 and 49703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49696 and 49703. First we will calculate the prime factors of 49696 and 49703.

Prime Factorization of 49696

Prime Factorization of 49703

Now multiplying the highest exponent prime factors to calculate the LCM of 49696 and 49703.

LCM(49696,49703) = 2⁵ × 1553¹ × 23¹ × 2161¹
LCM(49696,49703) = 2470040288