What is the Least Common Multiple of 49696 and 49704?

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 49704 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 49704, than apply into the LCM equation.

GCF(49696,49704) = 8
LCM(49696,49704) = ( 49696 × 49704) / 8
LCM(49696,49704) = 2470089984 / 8
LCM(49696,49704) = 308761248

Least Common Multiple (LCM) of 49696 and 49704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49696 and 49704. First we will calculate the prime factors of 49696 and 49704.

Prime Factorization of 49696

Prime Factorization of 49704

Now multiplying the highest exponent prime factors to calculate the LCM of 49696 and 49704.

LCM(49696,49704) = 2⁵ × 1553¹ × 3¹ × 19¹ × 109¹
LCM(49696,49704) = 308761248