What is the Least Common Multiple of 48475 and 48489?

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 48475 and 48489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48475 and 48489, than apply into the LCM equation.

GCF(48475,48489) = 7
LCM(48475,48489) = ( 48475 × 48489) / 7
LCM(48475,48489) = 2350504275 / 7
LCM(48475,48489) = 335786325

Least Common Multiple (LCM) of 48475 and 48489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48475 and 48489. First we will calculate the prime factors of 48475 and 48489.

Prime Factorization of 48475

Prime Factorization of 48489

Now multiplying the highest exponent prime factors to calculate the LCM of 48475 and 48489.

LCM(48475,48489) = 5² × 7¹ × 277¹ × 3¹ × 2309¹
LCM(48475,48489) = 335786325