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What is the Least Common Multiple of 25149 and 25159?

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 25149 and 25159 is 632723691.

LCM(25149,25159) = 632723691

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Least Common Multiple of 25149 and 25159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25149 and 25159, than apply into the LCM equation.

GCF(25149,25159) = 1
LCM(25149,25159) = ( 25149 × 25159) / 1
LCM(25149,25159) = 632723691 / 1
LCM(25149,25159) = 632723691

Least Common Multiple (LCM) of 25149 and 25159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25149 and 25159. First we will calculate the prime factors of 25149 and 25159.

Prime Factorization of 25149

Prime factors of 25149 are 3, 83, 101. Prime factorization of 25149 in exponential form is:

25149 = 31 × 831 × 1011

Prime Factorization of 25159

Prime factors of 25159 are 139, 181. Prime factorization of 25159 in exponential form is:

25159 = 1391 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 25149 and 25159.

LCM(25149,25159) = 31 × 831 × 1011 × 1391 × 1811
LCM(25149,25159) = 632723691