What is the Least Common Multiple of 49600 and 49618?

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 49600 and 49618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49600 and 49618, than apply into the LCM equation.

GCF(49600,49618) = 2
LCM(49600,49618) = ( 49600 × 49618) / 2
LCM(49600,49618) = 2461052800 / 2
LCM(49600,49618) = 1230526400

Least Common Multiple (LCM) of 49600 and 49618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49600 and 49618. First we will calculate the prime factors of 49600 and 49618.

Prime Factorization of 49600

Prime Factorization of 49618

Now multiplying the highest exponent prime factors to calculate the LCM of 49600 and 49618.

LCM(49600,49618) = 2⁶ × 5² × 31¹ × 24809¹
LCM(49600,49618) = 1230526400