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What is the Least Common Multiple of 25974 and 25978?

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 25974 and 25978 is 337376286.

LCM(25974,25978) = 337376286

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Least Common Multiple of 25974 and 25978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25974 and 25978, than apply into the LCM equation.

GCF(25974,25978) = 2
LCM(25974,25978) = ( 25974 × 25978) / 2
LCM(25974,25978) = 674752572 / 2
LCM(25974,25978) = 337376286

Least Common Multiple (LCM) of 25974 and 25978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25974 and 25978. First we will calculate the prime factors of 25974 and 25978.

Prime Factorization of 25974

Prime factors of 25974 are 2, 3, 13, 37. Prime factorization of 25974 in exponential form is:

25974 = 21 × 33 × 131 × 371

Prime Factorization of 25978

Prime factors of 25978 are 2, 31, 419. Prime factorization of 25978 in exponential form is:

25978 = 21 × 311 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 25974 and 25978.

LCM(25974,25978) = 21 × 33 × 131 × 371 × 311 × 4191
LCM(25974,25978) = 337376286