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What is the Least Common Multiple of 92096 and 92101?

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 92101 is 8482133696.

LCM(92096,92101) = 8482133696

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Least Common Multiple of 92096 and 92101 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 92101, than apply into the LCM equation.

GCF(92096,92101) = 1
LCM(92096,92101) = ( 92096 × 92101) / 1
LCM(92096,92101) = 8482133696 / 1
LCM(92096,92101) = 8482133696

Least Common Multiple (LCM) of 92096 and 92101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92096 and 92101. First we will calculate the prime factors of 92096 and 92101.

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 92101

Prime factors of 92101 are 31, 2971. Prime factorization of 92101 in exponential form is:

92101 = 311 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 92096 and 92101.

LCM(92096,92101) = 26 × 14391 × 311 × 29711
LCM(92096,92101) = 8482133696