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What is the Least Common Multiple of 92604 and 92609?

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 92604 and 92609 is 8575963836.

LCM(92604,92609) = 8575963836

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Least Common Multiple of 92604 and 92609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92604 and 92609, than apply into the LCM equation.

GCF(92604,92609) = 1
LCM(92604,92609) = ( 92604 × 92609) / 1
LCM(92604,92609) = 8575963836 / 1
LCM(92604,92609) = 8575963836

Least Common Multiple (LCM) of 92604 and 92609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92604 and 92609. First we will calculate the prime factors of 92604 and 92609.

Prime Factorization of 92604

Prime factors of 92604 are 2, 3, 7717. Prime factorization of 92604 in exponential form is:

92604 = 22 × 31 × 77171

Prime Factorization of 92609

Prime factors of 92609 are 11, 8419. Prime factorization of 92609 in exponential form is:

92609 = 111 × 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 92604 and 92609.

LCM(92604,92609) = 22 × 31 × 77171 × 111 × 84191
LCM(92604,92609) = 8575963836