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What is the Least Common Multiple of 92031 and 92047?

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 92031 and 92047 is 8471177457.

LCM(92031,92047) = 8471177457

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Least Common Multiple of 92031 and 92047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92031 and 92047, than apply into the LCM equation.

GCF(92031,92047) = 1
LCM(92031,92047) = ( 92031 × 92047) / 1
LCM(92031,92047) = 8471177457 / 1
LCM(92031,92047) = 8471177457

Least Common Multiple (LCM) of 92031 and 92047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92031 and 92047. First we will calculate the prime factors of 92031 and 92047.

Prime Factorization of 92031

Prime factors of 92031 are 3, 30677. Prime factorization of 92031 in exponential form is:

92031 = 31 × 306771

Prime Factorization of 92047

Prime factors of 92047 are 83, 1109. Prime factorization of 92047 in exponential form is:

92047 = 831 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 92031 and 92047.

LCM(92031,92047) = 31 × 306771 × 831 × 11091
LCM(92031,92047) = 8471177457