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What is the Least Common Multiple of 25924 and 25940?

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 25924 and 25940 is 168117140.

LCM(25924,25940) = 168117140

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Least Common Multiple of 25924 and 25940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25924 and 25940, than apply into the LCM equation.

GCF(25924,25940) = 4
LCM(25924,25940) = ( 25924 × 25940) / 4
LCM(25924,25940) = 672468560 / 4
LCM(25924,25940) = 168117140

Least Common Multiple (LCM) of 25924 and 25940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25924 and 25940. First we will calculate the prime factors of 25924 and 25940.

Prime Factorization of 25924

Prime factors of 25924 are 2, 6481. Prime factorization of 25924 in exponential form is:

25924 = 22 × 64811

Prime Factorization of 25940

Prime factors of 25940 are 2, 5, 1297. Prime factorization of 25940 in exponential form is:

25940 = 22 × 51 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 25924 and 25940.

LCM(25924,25940) = 22 × 64811 × 51 × 12971
LCM(25924,25940) = 168117140