What is the Least Common Multiple of 49344 and 49356?

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 49344 and 49356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49344 and 49356, than apply into the LCM equation.

GCF(49344,49356) = 12
LCM(49344,49356) = ( 49344 × 49356) / 12
LCM(49344,49356) = 2435422464 / 12
LCM(49344,49356) = 202951872

Least Common Multiple (LCM) of 49344 and 49356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49344 and 49356. First we will calculate the prime factors of 49344 and 49356.

Prime Factorization of 49344

Prime Factorization of 49356

Now multiplying the highest exponent prime factors to calculate the LCM of 49344 and 49356.

LCM(49344,49356) = 2⁶ × 3³ × 257¹ × 457¹
LCM(49344,49356) = 202951872