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What is the Least Common Multiple of 92335 and 92344?

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 92335 and 92344 is 8526583240.

LCM(92335,92344) = 8526583240

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Least Common Multiple of 92335 and 92344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92335 and 92344, than apply into the LCM equation.

GCF(92335,92344) = 1
LCM(92335,92344) = ( 92335 × 92344) / 1
LCM(92335,92344) = 8526583240 / 1
LCM(92335,92344) = 8526583240

Least Common Multiple (LCM) of 92335 and 92344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92335 and 92344. First we will calculate the prime factors of 92335 and 92344.

Prime Factorization of 92335

Prime factors of 92335 are 5, 59, 313. Prime factorization of 92335 in exponential form is:

92335 = 51 × 591 × 3131

Prime Factorization of 92344

Prime factors of 92344 are 2, 7, 17, 97. Prime factorization of 92344 in exponential form is:

92344 = 23 × 71 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 92335 and 92344.

LCM(92335,92344) = 51 × 591 × 3131 × 23 × 71 × 171 × 971
LCM(92335,92344) = 8526583240