What is the Least Common Multiple of 54880 and 54893?

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 54880 and 54893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54880 and 54893, than apply into the LCM equation.

GCF(54880,54893) = 1
LCM(54880,54893) = ( 54880 × 54893) / 1
LCM(54880,54893) = 3012527840 / 1
LCM(54880,54893) = 3012527840

Least Common Multiple (LCM) of 54880 and 54893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54880 and 54893. First we will calculate the prime factors of 54880 and 54893.

Prime Factorization of 54880

Prime Factorization of 54893

Now multiplying the highest exponent prime factors to calculate the LCM of 54880 and 54893.

LCM(54880,54893) = 2⁵ × 5¹ × 7³ × 17¹ × 3229¹
LCM(54880,54893) = 3012527840