What is the Least Common Multiple of 48280 and 48288?

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 48280 and 48288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48280 and 48288, than apply into the LCM equation.

GCF(48280,48288) = 8
LCM(48280,48288) = ( 48280 × 48288) / 8
LCM(48280,48288) = 2331344640 / 8
LCM(48280,48288) = 291418080

Least Common Multiple (LCM) of 48280 and 48288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48280 and 48288. First we will calculate the prime factors of 48280 and 48288.

Prime Factorization of 48280

Prime Factorization of 48288

Now multiplying the highest exponent prime factors to calculate the LCM of 48280 and 48288.

LCM(48280,48288) = 2⁵ × 5¹ × 17¹ × 71¹ × 3¹ × 503¹
LCM(48280,48288) = 291418080