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What is the Least Common Multiple of 2465 and 2474?

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 2465 and 2474 is 6098410.

LCM(2465,2474) = 6098410

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Least Common Multiple of 2465 and 2474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2465 and 2474, than apply into the LCM equation.

GCF(2465,2474) = 1
LCM(2465,2474) = ( 2465 × 2474) / 1
LCM(2465,2474) = 6098410 / 1
LCM(2465,2474) = 6098410

Least Common Multiple (LCM) of 2465 and 2474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2465 and 2474. First we will calculate the prime factors of 2465 and 2474.

Prime Factorization of 2465

Prime factors of 2465 are 5, 17, 29. Prime factorization of 2465 in exponential form is:

2465 = 51 × 171 × 291

Prime Factorization of 2474

Prime factors of 2474 are 2, 1237. Prime factorization of 2474 in exponential form is:

2474 = 21 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 2465 and 2474.

LCM(2465,2474) = 51 × 171 × 291 × 21 × 12371
LCM(2465,2474) = 6098410