What is the Least Common Multiple of 48060 and 48069?

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 48060 and 48069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48060 and 48069, than apply into the LCM equation.

GCF(48060,48069) = 9
LCM(48060,48069) = ( 48060 × 48069) / 9
LCM(48060,48069) = 2310196140 / 9
LCM(48060,48069) = 256688460

Least Common Multiple (LCM) of 48060 and 48069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48060 and 48069. First we will calculate the prime factors of 48060 and 48069.

Prime Factorization of 48060

Prime Factorization of 48069

Now multiplying the highest exponent prime factors to calculate the LCM of 48060 and 48069.

LCM(48060,48069) = 2² × 3³ × 5¹ × 89¹ × 7² × 109¹
LCM(48060,48069) = 256688460