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What is the Least Common Multiple of 92046 and 92059?

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 92046 and 92059 is 8473662714.

LCM(92046,92059) = 8473662714

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Least Common Multiple of 92046 and 92059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92046 and 92059, than apply into the LCM equation.

GCF(92046,92059) = 1
LCM(92046,92059) = ( 92046 × 92059) / 1
LCM(92046,92059) = 8473662714 / 1
LCM(92046,92059) = 8473662714

Least Common Multiple (LCM) of 92046 and 92059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92046 and 92059. First we will calculate the prime factors of 92046 and 92059.

Prime Factorization of 92046

Prime factors of 92046 are 2, 3, 23, 29. Prime factorization of 92046 in exponential form is:

92046 = 21 × 31 × 232 × 291

Prime Factorization of 92059

Prime factors of 92059 are 11, 8369. Prime factorization of 92059 in exponential form is:

92059 = 111 × 83691

Now multiplying the highest exponent prime factors to calculate the LCM of 92046 and 92059.

LCM(92046,92059) = 21 × 31 × 232 × 291 × 111 × 83691
LCM(92046,92059) = 8473662714