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What is the Least Common Multiple of 25105 and 25121?

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 25105 and 25121 is 630662705.

LCM(25105,25121) = 630662705

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Least Common Multiple of 25105 and 25121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25105 and 25121, than apply into the LCM equation.

GCF(25105,25121) = 1
LCM(25105,25121) = ( 25105 × 25121) / 1
LCM(25105,25121) = 630662705 / 1
LCM(25105,25121) = 630662705

Least Common Multiple (LCM) of 25105 and 25121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25105 and 25121. First we will calculate the prime factors of 25105 and 25121.

Prime Factorization of 25105

Prime factors of 25105 are 5, 5021. Prime factorization of 25105 in exponential form is:

25105 = 51 × 50211

Prime Factorization of 25121

Prime factors of 25121 are 25121. Prime factorization of 25121 in exponential form is:

25121 = 251211

Now multiplying the highest exponent prime factors to calculate the LCM of 25105 and 25121.

LCM(25105,25121) = 51 × 50211 × 251211
LCM(25105,25121) = 630662705