What is the Least Common Multiple of 49298 and 49312?

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 49298 and 49312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49298 and 49312, than apply into the LCM equation.

GCF(49298,49312) = 2
LCM(49298,49312) = ( 49298 × 49312) / 2
LCM(49298,49312) = 2430982976 / 2
LCM(49298,49312) = 1215491488

Least Common Multiple (LCM) of 49298 and 49312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49298 and 49312. First we will calculate the prime factors of 49298 and 49312.

Prime Factorization of 49298

Prime Factorization of 49312

Now multiplying the highest exponent prime factors to calculate the LCM of 49298 and 49312.

LCM(49298,49312) = 2⁵ × 157² × 23¹ × 67¹
LCM(49298,49312) = 1215491488