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What is the Least Common Multiple of 25187 and 25198?

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 25187 and 25198 is 634662026.

LCM(25187,25198) = 634662026

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Least Common Multiple of 25187 and 25198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25187 and 25198, than apply into the LCM equation.

GCF(25187,25198) = 1
LCM(25187,25198) = ( 25187 × 25198) / 1
LCM(25187,25198) = 634662026 / 1
LCM(25187,25198) = 634662026

Least Common Multiple (LCM) of 25187 and 25198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25187 and 25198. First we will calculate the prime factors of 25187 and 25198.

Prime Factorization of 25187

Prime factors of 25187 are 89, 283. Prime factorization of 25187 in exponential form is:

25187 = 891 × 2831

Prime Factorization of 25198

Prime factors of 25198 are 2, 43, 293. Prime factorization of 25198 in exponential form is:

25198 = 21 × 431 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 25187 and 25198.

LCM(25187,25198) = 891 × 2831 × 21 × 431 × 2931
LCM(25187,25198) = 634662026