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What is the Least Common Multiple of 25668 and 25687?

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 25668 and 25687 is 659333916.

LCM(25668,25687) = 659333916

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Least Common Multiple of 25668 and 25687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25668 and 25687, than apply into the LCM equation.

GCF(25668,25687) = 1
LCM(25668,25687) = ( 25668 × 25687) / 1
LCM(25668,25687) = 659333916 / 1
LCM(25668,25687) = 659333916

Least Common Multiple (LCM) of 25668 and 25687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25668 and 25687. First we will calculate the prime factors of 25668 and 25687.

Prime Factorization of 25668

Prime factors of 25668 are 2, 3, 23, 31. Prime factorization of 25668 in exponential form is:

25668 = 22 × 32 × 231 × 311

Prime Factorization of 25687

Prime factors of 25687 are 17, 1511. Prime factorization of 25687 in exponential form is:

25687 = 171 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 25668 and 25687.

LCM(25668,25687) = 22 × 32 × 231 × 311 × 171 × 15111
LCM(25668,25687) = 659333916