What is the Least Common Multiple of 54880 and 54890?

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 54890 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 54890, than apply into the LCM equation.

GCF(54880,54890) = 10
LCM(54880,54890) = ( 54880 × 54890) / 10
LCM(54880,54890) = 3012363200 / 10
LCM(54880,54890) = 301236320

Least Common Multiple (LCM) of 54880 and 54890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54880 and 54890. First we will calculate the prime factors of 54880 and 54890.

Prime Factorization of 54880

Prime Factorization of 54890

Now multiplying the highest exponent prime factors to calculate the LCM of 54880 and 54890.

LCM(54880,54890) = 2⁵ × 5¹ × 7³ × 11¹ × 499¹
LCM(54880,54890) = 301236320