What is the Least Common Multiple of 2475 and 2489?

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 2475 and 2489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2475 and 2489, than apply into the LCM equation.

GCF(2475,2489) = 1
LCM(2475,2489) = ( 2475 × 2489) / 1
LCM(2475,2489) = 6160275 / 1
LCM(2475,2489) = 6160275

Least Common Multiple (LCM) of 2475 and 2489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2489. First we will calculate the prime factors of 2475 and 2489.

Prime Factorization of 2475

Prime Factorization of 2489

Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2489.

LCM(2475,2489) = 3² × 5² × 11¹ × 19¹ × 131¹
LCM(2475,2489) = 6160275