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What is the Least Common Multiple of 25246 and 25255?

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 25246 and 25255 is 637587730.

LCM(25246,25255) = 637587730

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Least Common Multiple of 25246 and 25255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25246 and 25255, than apply into the LCM equation.

GCF(25246,25255) = 1
LCM(25246,25255) = ( 25246 × 25255) / 1
LCM(25246,25255) = 637587730 / 1
LCM(25246,25255) = 637587730

Least Common Multiple (LCM) of 25246 and 25255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25246 and 25255. First we will calculate the prime factors of 25246 and 25255.

Prime Factorization of 25246

Prime factors of 25246 are 2, 13, 971. Prime factorization of 25246 in exponential form is:

25246 = 21 × 131 × 9711

Prime Factorization of 25255

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

25255 = 51 × 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 25246 and 25255.

LCM(25246,25255) = 21 × 131 × 9711 × 51 × 50511
LCM(25246,25255) = 637587730