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What is the Least Common Multiple of 25381 and 25398?

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 25381 and 25398 is 37919214.

LCM(25381,25398) = 37919214

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Least Common Multiple of 25381 and 25398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25381 and 25398, than apply into the LCM equation.

GCF(25381,25398) = 17
LCM(25381,25398) = ( 25381 × 25398) / 17
LCM(25381,25398) = 644626638 / 17
LCM(25381,25398) = 37919214

Least Common Multiple (LCM) of 25381 and 25398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25381 and 25398. First we will calculate the prime factors of 25381 and 25398.

Prime Factorization of 25381

Prime factors of 25381 are 17, 1493. Prime factorization of 25381 in exponential form is:

25381 = 171 × 14931

Prime Factorization of 25398

Prime factors of 25398 are 2, 3, 17, 83. Prime factorization of 25398 in exponential form is:

25398 = 21 × 32 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 25381 and 25398.

LCM(25381,25398) = 171 × 14931 × 21 × 32 × 831
LCM(25381,25398) = 37919214