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What is the Least Common Multiple of 92035 and 92039?

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 92035 and 92039 is 8470809365.

LCM(92035,92039) = 8470809365

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Least Common Multiple of 92035 and 92039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92035 and 92039, than apply into the LCM equation.

GCF(92035,92039) = 1
LCM(92035,92039) = ( 92035 × 92039) / 1
LCM(92035,92039) = 8470809365 / 1
LCM(92035,92039) = 8470809365

Least Common Multiple (LCM) of 92035 and 92039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92035 and 92039. First we will calculate the prime factors of 92035 and 92039.

Prime Factorization of 92035

Prime factors of 92035 are 5, 79, 233. Prime factorization of 92035 in exponential form is:

92035 = 51 × 791 × 2331

Prime Factorization of 92039

Prime factors of 92039 are 31, 2969. Prime factorization of 92039 in exponential form is:

92039 = 311 × 29691

Now multiplying the highest exponent prime factors to calculate the LCM of 92035 and 92039.

LCM(92035,92039) = 51 × 791 × 2331 × 311 × 29691
LCM(92035,92039) = 8470809365