What is the Least Common Multiple of 49809 and 49824?

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 49809 and 49824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49809 and 49824, than apply into the LCM equation.

GCF(49809,49824) = 3
LCM(49809,49824) = ( 49809 × 49824) / 3
LCM(49809,49824) = 2481683616 / 3
LCM(49809,49824) = 827227872

Least Common Multiple (LCM) of 49809 and 49824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49809 and 49824. First we will calculate the prime factors of 49809 and 49824.

Prime Factorization of 49809

Prime Factorization of 49824

Now multiplying the highest exponent prime factors to calculate the LCM of 49809 and 49824.

LCM(49809,49824) = 3² × 16603¹ × 2⁵ × 173¹
LCM(49809,49824) = 827227872