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What is the Least Common Multiple of 25280 and 25295?

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 25280 and 25295 is 127891520.

LCM(25280,25295) = 127891520

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Least Common Multiple of 25280 and 25295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25280 and 25295, than apply into the LCM equation.

GCF(25280,25295) = 5
LCM(25280,25295) = ( 25280 × 25295) / 5
LCM(25280,25295) = 639457600 / 5
LCM(25280,25295) = 127891520

Least Common Multiple (LCM) of 25280 and 25295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25280 and 25295. First we will calculate the prime factors of 25280 and 25295.

Prime Factorization of 25280

Prime factors of 25280 are 2, 5, 79. Prime factorization of 25280 in exponential form is:

25280 = 26 × 51 × 791

Prime Factorization of 25295

Prime factors of 25295 are 5, 5059. Prime factorization of 25295 in exponential form is:

25295 = 51 × 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 25280 and 25295.

LCM(25280,25295) = 26 × 51 × 791 × 50591
LCM(25280,25295) = 127891520