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What is the Least Common Multiple of 92409 and 92415?

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 92415 is 2846659245.

LCM(92409,92415) = 2846659245

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Least Common Multiple of 92409 and 92415 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 92415, than apply into the LCM equation.

GCF(92409,92415) = 3
LCM(92409,92415) = ( 92409 × 92415) / 3
LCM(92409,92415) = 8539977735 / 3
LCM(92409,92415) = 2846659245

Least Common Multiple (LCM) of 92409 and 92415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92409 and 92415. First we will calculate the prime factors of 92409 and 92415.

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 92415

Prime factors of 92415 are 3, 5, 61, 101. Prime factorization of 92415 in exponential form is:

92415 = 31 × 51 × 611 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 92409 and 92415.

LCM(92409,92415) = 31 × 308031 × 51 × 611 × 1011
LCM(92409,92415) = 2846659245