What is the Least Common Multiple of 53829 and 53844?

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 53829 and 53844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53829 and 53844, than apply into the LCM equation.

GCF(53829,53844) = 3
LCM(53829,53844) = ( 53829 × 53844) / 3
LCM(53829,53844) = 2898368676 / 3
LCM(53829,53844) = 966122892

Least Common Multiple (LCM) of 53829 and 53844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53829 and 53844. First we will calculate the prime factors of 53829 and 53844.

Prime Factorization of 53829

Prime Factorization of 53844

Now multiplying the highest exponent prime factors to calculate the LCM of 53829 and 53844.

LCM(53829,53844) = 3² × 5981¹ × 2² × 7¹ × 641¹
LCM(53829,53844) = 966122892