What is the Least Common Multiple of 49338 and 49344?

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 49338 and 49344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49338 and 49344, than apply into the LCM equation.

GCF(49338,49344) = 6
LCM(49338,49344) = ( 49338 × 49344) / 6
LCM(49338,49344) = 2434534272 / 6
LCM(49338,49344) = 405755712

Least Common Multiple (LCM) of 49338 and 49344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49338 and 49344. First we will calculate the prime factors of 49338 and 49344.

Prime Factorization of 49338

Prime Factorization of 49344

Now multiplying the highest exponent prime factors to calculate the LCM of 49338 and 49344.

LCM(49338,49344) = 2⁶ × 3² × 2741¹ × 257¹
LCM(49338,49344) = 405755712