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What is the Least Common Multiple of 92233 and 92239?

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 92233 and 92239 is 8507479687.

LCM(92233,92239) = 8507479687

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Least Common Multiple of 92233 and 92239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92233 and 92239, than apply into the LCM equation.

GCF(92233,92239) = 1
LCM(92233,92239) = ( 92233 × 92239) / 1
LCM(92233,92239) = 8507479687 / 1
LCM(92233,92239) = 8507479687

Least Common Multiple (LCM) of 92233 and 92239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92233 and 92239. First we will calculate the prime factors of 92233 and 92239.

Prime Factorization of 92233

Prime factors of 92233 are 92233. Prime factorization of 92233 in exponential form is:

92233 = 922331

Prime Factorization of 92239

Prime factors of 92239 are 7, 13177. Prime factorization of 92239 in exponential form is:

92239 = 71 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 92233 and 92239.

LCM(92233,92239) = 922331 × 71 × 131771
LCM(92233,92239) = 8507479687