What is the Least Common Multiple of 49416 and 49424?

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 49416 and 49424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49416 and 49424, than apply into the LCM equation.

GCF(49416,49424) = 8
LCM(49416,49424) = ( 49416 × 49424) / 8
LCM(49416,49424) = 2442336384 / 8
LCM(49416,49424) = 305292048

Least Common Multiple (LCM) of 49416 and 49424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49416 and 49424. First we will calculate the prime factors of 49416 and 49424.

Prime Factorization of 49416

Prime Factorization of 49424

Now multiplying the highest exponent prime factors to calculate the LCM of 49416 and 49424.

LCM(49416,49424) = 2⁴ × 3¹ × 29¹ × 71¹ × 3089¹
LCM(49416,49424) = 305292048