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What is the Least Common Multiple of 92230 and 92243?

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 92230 and 92243 is 8507571890.

LCM(92230,92243) = 8507571890

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Least Common Multiple of 92230 and 92243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92230 and 92243, than apply into the LCM equation.

GCF(92230,92243) = 1
LCM(92230,92243) = ( 92230 × 92243) / 1
LCM(92230,92243) = 8507571890 / 1
LCM(92230,92243) = 8507571890

Least Common Multiple (LCM) of 92230 and 92243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92230 and 92243. First we will calculate the prime factors of 92230 and 92243.

Prime Factorization of 92230

Prime factors of 92230 are 2, 5, 23, 401. Prime factorization of 92230 in exponential form is:

92230 = 21 × 51 × 231 × 4011

Prime Factorization of 92243

Prime factors of 92243 are 92243. Prime factorization of 92243 in exponential form is:

92243 = 922431

Now multiplying the highest exponent prime factors to calculate the LCM of 92230 and 92243.

LCM(92230,92243) = 21 × 51 × 231 × 4011 × 922431
LCM(92230,92243) = 8507571890