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What is the Least Common Multiple of 25974 and 25982?

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 25982 is 337428234.

LCM(25974,25982) = 337428234

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Least Common Multiple of 25974 and 25982 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 25982, than apply into the LCM equation.

GCF(25974,25982) = 2
LCM(25974,25982) = ( 25974 × 25982) / 2
LCM(25974,25982) = 674856468 / 2
LCM(25974,25982) = 337428234

Least Common Multiple (LCM) of 25974 and 25982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25974 and 25982. First we will calculate the prime factors of 25974 and 25982.

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 25982

Prime factors of 25982 are 2, 11, 1181. Prime factorization of 25982 in exponential form is:

25982 = 21 × 111 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 25974 and 25982.

LCM(25974,25982) = 21 × 33 × 131 × 371 × 111 × 11811
LCM(25974,25982) = 337428234