What is the Least Common Multiple of 48270 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 48270 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 48270 and 48288, than apply into the LCM equation.

GCF(48270,48288) = 6
LCM(48270,48288) = ( 48270 × 48288) / 6
LCM(48270,48288) = 2330861760 / 6
LCM(48270,48288) = 388476960

Least Common Multiple (LCM) of 48270 and 48288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48270 and 48288. First we will calculate the prime factors of 48270 and 48288.

Prime Factorization of 48270

Prime Factorization of 48288

Now multiplying the highest exponent prime factors to calculate the LCM of 48270 and 48288.

LCM(48270,48288) = 2⁵ × 3¹ × 5¹ × 1609¹ × 503¹
LCM(48270,48288) = 388476960