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What is the Least Common Multiple of 2474 and 2479?

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 2474 and 2479 is 6133046.

LCM(2474,2479) = 6133046

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Least Common Multiple of 2474 and 2479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2474 and 2479, than apply into the LCM equation.

GCF(2474,2479) = 1
LCM(2474,2479) = ( 2474 × 2479) / 1
LCM(2474,2479) = 6133046 / 1
LCM(2474,2479) = 6133046

Least Common Multiple (LCM) of 2474 and 2479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2474 and 2479. First we will calculate the prime factors of 2474 and 2479.

Prime Factorization of 2474

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

2474 = 21 × 12371

Prime Factorization of 2479

Prime factors of 2479 are 37, 67. Prime factorization of 2479 in exponential form is:

2479 = 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2474 and 2479.

LCM(2474,2479) = 21 × 12371 × 371 × 671
LCM(2474,2479) = 6133046