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What is the Least Common Multiple of 25900 and 25916?

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 25900 and 25916 is 167806100.

LCM(25900,25916) = 167806100

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Least Common Multiple of 25900 and 25916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25900 and 25916, than apply into the LCM equation.

GCF(25900,25916) = 4
LCM(25900,25916) = ( 25900 × 25916) / 4
LCM(25900,25916) = 671224400 / 4
LCM(25900,25916) = 167806100

Least Common Multiple (LCM) of 25900 and 25916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25900 and 25916. First we will calculate the prime factors of 25900 and 25916.

Prime Factorization of 25900

Prime factors of 25900 are 2, 5, 7, 37. Prime factorization of 25900 in exponential form is:

25900 = 22 × 52 × 71 × 371

Prime Factorization of 25916

Prime factors of 25916 are 2, 11, 19, 31. Prime factorization of 25916 in exponential form is:

25916 = 22 × 111 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25900 and 25916.

LCM(25900,25916) = 22 × 52 × 71 × 371 × 111 × 191 × 311
LCM(25900,25916) = 167806100