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What is the Least Common Multiple of 24887 and 24902?

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 24887 and 24902 is 619736074.

LCM(24887,24902) = 619736074

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Least Common Multiple of 24887 and 24902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24887 and 24902, than apply into the LCM equation.

GCF(24887,24902) = 1
LCM(24887,24902) = ( 24887 × 24902) / 1
LCM(24887,24902) = 619736074 / 1
LCM(24887,24902) = 619736074

Least Common Multiple (LCM) of 24887 and 24902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24887 and 24902. First we will calculate the prime factors of 24887 and 24902.

Prime Factorization of 24887

Prime factors of 24887 are 41, 607. Prime factorization of 24887 in exponential form is:

24887 = 411 × 6071

Prime Factorization of 24902

Prime factors of 24902 are 2, 12451. Prime factorization of 24902 in exponential form is:

24902 = 21 × 124511

Now multiplying the highest exponent prime factors to calculate the LCM of 24887 and 24902.

LCM(24887,24902) = 411 × 6071 × 21 × 124511
LCM(24887,24902) = 619736074