What is the Least Common Multiple of 49328 and 49346?

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 49328 and 49346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49328 and 49346, than apply into the LCM equation.

GCF(49328,49346) = 2
LCM(49328,49346) = ( 49328 × 49346) / 2
LCM(49328,49346) = 2434139488 / 2
LCM(49328,49346) = 1217069744

Least Common Multiple (LCM) of 49328 and 49346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49328 and 49346. First we will calculate the prime factors of 49328 and 49346.

Prime Factorization of 49328

Prime Factorization of 49346

Now multiplying the highest exponent prime factors to calculate the LCM of 49328 and 49346.

LCM(49328,49346) = 2⁴ × 3083¹ × 11¹ × 2243¹
LCM(49328,49346) = 1217069744