What is the Least Common Multiple of 49312 and 49328?

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 49312 and 49328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49312 and 49328, than apply into the LCM equation.

GCF(49312,49328) = 16
LCM(49312,49328) = ( 49312 × 49328) / 16
LCM(49312,49328) = 2432462336 / 16
LCM(49312,49328) = 152028896

Least Common Multiple (LCM) of 49312 and 49328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49312 and 49328. First we will calculate the prime factors of 49312 and 49328.

Prime Factorization of 49312

Prime Factorization of 49328

Now multiplying the highest exponent prime factors to calculate the LCM of 49312 and 49328.

LCM(49312,49328) = 2⁵ × 23¹ × 67¹ × 3083¹
LCM(49312,49328) = 152028896