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What is the Least Common Multiple of 92409 and 92425?

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 92409 and 92425 is 8540901825.

LCM(92409,92425) = 8540901825

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Least Common Multiple of 92409 and 92425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92409 and 92425, than apply into the LCM equation.

GCF(92409,92425) = 1
LCM(92409,92425) = ( 92409 × 92425) / 1
LCM(92409,92425) = 8540901825 / 1
LCM(92409,92425) = 8540901825

Least Common Multiple (LCM) of 92409 and 92425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92409 and 92425. First we will calculate the prime factors of 92409 and 92425.

Prime Factorization of 92409

Prime factors of 92409 are 3, 30803. Prime factorization of 92409 in exponential form is:

92409 = 31 × 308031

Prime Factorization of 92425

Prime factors of 92425 are 5, 3697. Prime factorization of 92425 in exponential form is:

92425 = 52 × 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 92409 and 92425.

LCM(92409,92425) = 31 × 308031 × 52 × 36971
LCM(92409,92425) = 8540901825