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What is the Least Common Multiple of 25370 and 25376?

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 25370 and 25376 is 321894560.

LCM(25370,25376) = 321894560

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Least Common Multiple of 25370 and 25376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25370 and 25376, than apply into the LCM equation.

GCF(25370,25376) = 2
LCM(25370,25376) = ( 25370 × 25376) / 2
LCM(25370,25376) = 643789120 / 2
LCM(25370,25376) = 321894560

Least Common Multiple (LCM) of 25370 and 25376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25370 and 25376. First we will calculate the prime factors of 25370 and 25376.

Prime Factorization of 25370

Prime factors of 25370 are 2, 5, 43, 59. Prime factorization of 25370 in exponential form is:

25370 = 21 × 51 × 431 × 591

Prime Factorization of 25376

Prime factors of 25376 are 2, 13, 61. Prime factorization of 25376 in exponential form is:

25376 = 25 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 25370 and 25376.

LCM(25370,25376) = 25 × 51 × 431 × 591 × 131 × 611
LCM(25370,25376) = 321894560