What is the Least Common Multiple of 49696 and 49711?

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 49711 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 49711, than apply into the LCM equation.

GCF(49696,49711) = 1
LCM(49696,49711) = ( 49696 × 49711) / 1
LCM(49696,49711) = 2470437856 / 1
LCM(49696,49711) = 2470437856

Least Common Multiple (LCM) of 49696 and 49711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49696 and 49711. First we will calculate the prime factors of 49696 and 49711.

Prime Factorization of 49696

Prime Factorization of 49711

Now multiplying the highest exponent prime factors to calculate the LCM of 49696 and 49711.

LCM(49696,49711) = 2⁵ × 1553¹ × 49711¹
LCM(49696,49711) = 2470437856