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What is the Least Common Multiple of 25255 and 25265?

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 25255 and 25265 is 127613515.

LCM(25255,25265) = 127613515

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Least Common Multiple of 25255 and 25265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25255 and 25265, than apply into the LCM equation.

GCF(25255,25265) = 5
LCM(25255,25265) = ( 25255 × 25265) / 5
LCM(25255,25265) = 638067575 / 5
LCM(25255,25265) = 127613515

Least Common Multiple (LCM) of 25255 and 25265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25255 and 25265. First we will calculate the prime factors of 25255 and 25265.

Prime Factorization of 25255

Prime factors of 25255 are 5, 5051. Prime factorization of 25255 in exponential form is:

25255 = 51 × 50511

Prime Factorization of 25265

Prime factors of 25265 are 5, 31, 163. Prime factorization of 25265 in exponential form is:

25265 = 51 × 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 25255 and 25265.

LCM(25255,25265) = 51 × 50511 × 311 × 1631
LCM(25255,25265) = 127613515