What is the Least Common Multiple of 52944 and 52961?

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 52944 and 52961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52944 and 52961, than apply into the LCM equation.

GCF(52944,52961) = 1
LCM(52944,52961) = ( 52944 × 52961) / 1
LCM(52944,52961) = 2803967184 / 1
LCM(52944,52961) = 2803967184

Least Common Multiple (LCM) of 52944 and 52961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52944 and 52961. First we will calculate the prime factors of 52944 and 52961.

Prime Factorization of 52944

Prime Factorization of 52961

Now multiplying the highest exponent prime factors to calculate the LCM of 52944 and 52961.

LCM(52944,52961) = 2⁴ × 3¹ × 1103¹ × 211¹ × 251¹
LCM(52944,52961) = 2803967184