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What is the Least Common Multiple of 25135 and 25145?

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 25135 and 25145 is 126403915.

LCM(25135,25145) = 126403915

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Least Common Multiple of 25135 and 25145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25135 and 25145, than apply into the LCM equation.

GCF(25135,25145) = 5
LCM(25135,25145) = ( 25135 × 25145) / 5
LCM(25135,25145) = 632019575 / 5
LCM(25135,25145) = 126403915

Least Common Multiple (LCM) of 25135 and 25145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25135 and 25145. First we will calculate the prime factors of 25135 and 25145.

Prime Factorization of 25135

Prime factors of 25135 are 5, 11, 457. Prime factorization of 25135 in exponential form is:

25135 = 51 × 111 × 4571

Prime Factorization of 25145

Prime factors of 25145 are 5, 47, 107. Prime factorization of 25145 in exponential form is:

25145 = 51 × 471 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 25135 and 25145.

LCM(25135,25145) = 51 × 111 × 4571 × 471 × 1071
LCM(25135,25145) = 126403915