What is the Least Common Multiple of 53844 and 53853?

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 53844 and 53853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53844 and 53853, than apply into the LCM equation.

GCF(53844,53853) = 3
LCM(53844,53853) = ( 53844 × 53853) / 3
LCM(53844,53853) = 2899660932 / 3
LCM(53844,53853) = 966553644

Least Common Multiple (LCM) of 53844 and 53853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53844 and 53853. First we will calculate the prime factors of 53844 and 53853.

Prime Factorization of 53844

Prime Factorization of 53853

Now multiplying the highest exponent prime factors to calculate the LCM of 53844 and 53853.

LCM(53844,53853) = 2² × 3¹ × 7¹ × 641¹ × 29¹ × 619¹
LCM(53844,53853) = 966553644