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What is the Least Common Multiple of 25091 and 25097?

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 25091 and 25097 is 629708827.

LCM(25091,25097) = 629708827

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Least Common Multiple of 25091 and 25097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25091 and 25097, than apply into the LCM equation.

GCF(25091,25097) = 1
LCM(25091,25097) = ( 25091 × 25097) / 1
LCM(25091,25097) = 629708827 / 1
LCM(25091,25097) = 629708827

Least Common Multiple (LCM) of 25091 and 25097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25091 and 25097. First we will calculate the prime factors of 25091 and 25097.

Prime Factorization of 25091

Prime factors of 25091 are 11, 2281. Prime factorization of 25091 in exponential form is:

25091 = 111 × 22811

Prime Factorization of 25097

Prime factors of 25097 are 25097. Prime factorization of 25097 in exponential form is:

25097 = 250971

Now multiplying the highest exponent prime factors to calculate the LCM of 25091 and 25097.

LCM(25091,25097) = 111 × 22811 × 250971
LCM(25091,25097) = 629708827