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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 (LCM) of 2475 and 2489 is 6160275.

LCM(2475,2489) = 6160275

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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 factors of 2475 are 3, 5, 11. Prime factorization of 2475 in exponential form is:

2475 = 32 × 52 × 111

Prime Factorization of 2489

Prime factors of 2489 are 19, 131. Prime factorization of 2489 in exponential form is:

2489 = 191 × 1311

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