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What is the Least Common Multiple of 92414 and 92433?

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 92414 and 92433 is 8542103262.

LCM(92414,92433) = 8542103262

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Least Common Multiple of 92414 and 92433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92414 and 92433, than apply into the LCM equation.

GCF(92414,92433) = 1
LCM(92414,92433) = ( 92414 × 92433) / 1
LCM(92414,92433) = 8542103262 / 1
LCM(92414,92433) = 8542103262

Least Common Multiple (LCM) of 92414 and 92433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92414 and 92433. First we will calculate the prime factors of 92414 and 92433.

Prime Factorization of 92414

Prime factors of 92414 are 2, 7, 23, 41. Prime factorization of 92414 in exponential form is:

92414 = 21 × 72 × 231 × 411

Prime Factorization of 92433

Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:

92433 = 31 × 111 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 92414 and 92433.

LCM(92414,92433) = 21 × 72 × 231 × 411 × 31 × 111 × 28011
LCM(92414,92433) = 8542103262