What is the Least Common Multiple of 49408 and 49416?

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 49408 and 49416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49408 and 49416, than apply into the LCM equation.

GCF(49408,49416) = 8
LCM(49408,49416) = ( 49408 × 49416) / 8
LCM(49408,49416) = 2441545728 / 8
LCM(49408,49416) = 305193216

Least Common Multiple (LCM) of 49408 and 49416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49408 and 49416. First we will calculate the prime factors of 49408 and 49416.

Prime Factorization of 49408

Prime Factorization of 49416

Now multiplying the highest exponent prime factors to calculate the LCM of 49408 and 49416.

LCM(49408,49416) = 2⁸ × 193¹ × 3¹ × 29¹ × 71¹
LCM(49408,49416) = 305193216