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What is the Least Common Multiple of 92443 and 92452?

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 92443 and 92452 is 8546540236.

LCM(92443,92452) = 8546540236

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Least Common Multiple of 92443 and 92452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92443 and 92452, than apply into the LCM equation.

GCF(92443,92452) = 1
LCM(92443,92452) = ( 92443 × 92452) / 1
LCM(92443,92452) = 8546540236 / 1
LCM(92443,92452) = 8546540236

Least Common Multiple (LCM) of 92443 and 92452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92443 and 92452. First we will calculate the prime factors of 92443 and 92452.

Prime Factorization of 92443

Prime factors of 92443 are 13, 547. Prime factorization of 92443 in exponential form is:

92443 = 132 × 5471

Prime Factorization of 92452

Prime factors of 92452 are 2, 29, 797. Prime factorization of 92452 in exponential form is:

92452 = 22 × 291 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 92443 and 92452.

LCM(92443,92452) = 132 × 5471 × 22 × 291 × 7971
LCM(92443,92452) = 8546540236