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What is the Least Common Multiple of 25246 and 25253?

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 25253 is 637537238.

LCM(25246,25253) = 637537238

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Least Common Multiple of 25246 and 25253 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 25253, than apply into the LCM equation.

GCF(25246,25253) = 1
LCM(25246,25253) = ( 25246 × 25253) / 1
LCM(25246,25253) = 637537238 / 1
LCM(25246,25253) = 637537238

Least Common Multiple (LCM) of 25246 and 25253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25246 and 25253. First we will calculate the prime factors of 25246 and 25253.

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 25253

Prime factors of 25253 are 25253. Prime factorization of 25253 in exponential form is:

25253 = 252531

Now multiplying the highest exponent prime factors to calculate the LCM of 25246 and 25253.

LCM(25246,25253) = 21 × 131 × 9711 × 252531
LCM(25246,25253) = 637537238