What is the Least Common Multiple of 54944 and 54948?

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 54948 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 54948, than apply into the LCM equation.

GCF(54944,54948) = 4
LCM(54944,54948) = ( 54944 × 54948) / 4
LCM(54944,54948) = 3019062912 / 4
LCM(54944,54948) = 754765728

Least Common Multiple (LCM) of 54944 and 54948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54944 and 54948. First we will calculate the prime factors of 54944 and 54948.

Prime Factorization of 54944

Prime Factorization of 54948

Now multiplying the highest exponent prime factors to calculate the LCM of 54944 and 54948.

LCM(54944,54948) = 2⁵ × 17¹ × 101¹ × 3¹ × 19¹ × 241¹
LCM(54944,54948) = 754765728