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What is the Least Common Multiple of 92096 and 92104?

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 92096 and 92104 is 1060301248.

LCM(92096,92104) = 1060301248

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Least Common Multiple of 92096 and 92104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92096 and 92104, than apply into the LCM equation.

GCF(92096,92104) = 8
LCM(92096,92104) = ( 92096 × 92104) / 8
LCM(92096,92104) = 8482409984 / 8
LCM(92096,92104) = 1060301248

Least Common Multiple (LCM) of 92096 and 92104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92096 and 92104. First we will calculate the prime factors of 92096 and 92104.

Prime Factorization of 92096

Prime factors of 92096 are 2, 1439. Prime factorization of 92096 in exponential form is:

92096 = 26 × 14391

Prime Factorization of 92104

Prime factors of 92104 are 2, 29, 397. Prime factorization of 92104 in exponential form is:

92104 = 23 × 291 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 92096 and 92104.

LCM(92096,92104) = 26 × 14391 × 291 × 3971
LCM(92096,92104) = 1060301248