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What is the Least Common Multiple of 25920 and 25927?

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 25920 and 25927 is 672027840.

LCM(25920,25927) = 672027840

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Least Common Multiple of 25920 and 25927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25920 and 25927, than apply into the LCM equation.

GCF(25920,25927) = 1
LCM(25920,25927) = ( 25920 × 25927) / 1
LCM(25920,25927) = 672027840 / 1
LCM(25920,25927) = 672027840

Least Common Multiple (LCM) of 25920 and 25927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25920 and 25927. First we will calculate the prime factors of 25920 and 25927.

Prime Factorization of 25920

Prime factors of 25920 are 2, 3, 5. Prime factorization of 25920 in exponential form is:

25920 = 26 × 34 × 51

Prime Factorization of 25927

Prime factors of 25927 are 11, 2357. Prime factorization of 25927 in exponential form is:

25927 = 111 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 25920 and 25927.

LCM(25920,25927) = 26 × 34 × 51 × 111 × 23571
LCM(25920,25927) = 672027840