What is the Least Common Multiple of 54944 and 54961?

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 54944 and 54961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54944 and 54961, than apply into the LCM equation.

GCF(54944,54961) = 17
LCM(54944,54961) = ( 54944 × 54961) / 17
LCM(54944,54961) = 3019777184 / 17
LCM(54944,54961) = 177633952

Least Common Multiple (LCM) of 54944 and 54961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54944 and 54961. First we will calculate the prime factors of 54944 and 54961.

Prime Factorization of 54944

Prime Factorization of 54961

Now multiplying the highest exponent prime factors to calculate the LCM of 54944 and 54961.

LCM(54944,54961) = 2⁵ × 17¹ × 101¹ × 53¹ × 61¹
LCM(54944,54961) = 177633952