What is the Least Common Multiple of 49678 and 49696?

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 49678 and 49696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49678 and 49696, than apply into the LCM equation.

GCF(49678,49696) = 2
LCM(49678,49696) = ( 49678 × 49696) / 2
LCM(49678,49696) = 2468797888 / 2
LCM(49678,49696) = 1234398944

Least Common Multiple (LCM) of 49678 and 49696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49678 and 49696. First we will calculate the prime factors of 49678 and 49696.

Prime Factorization of 49678

Prime Factorization of 49696

Now multiplying the highest exponent prime factors to calculate the LCM of 49678 and 49696.

LCM(49678,49696) = 2⁵ × 59¹ × 421¹ × 1553¹
LCM(49678,49696) = 1234398944