What is the Least Common Multiple of 49648 and 49664?

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 49648 and 49664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49648 and 49664, than apply into the LCM equation.

GCF(49648,49664) = 16
LCM(49648,49664) = ( 49648 × 49664) / 16
LCM(49648,49664) = 2465718272 / 16
LCM(49648,49664) = 154107392

Least Common Multiple (LCM) of 49648 and 49664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49648 and 49664. First we will calculate the prime factors of 49648 and 49664.

Prime Factorization of 49648

Prime Factorization of 49664

Now multiplying the highest exponent prime factors to calculate the LCM of 49648 and 49664.

LCM(49648,49664) = 2⁹ × 29¹ × 107¹ × 97¹
LCM(49648,49664) = 154107392