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What is the Least Common Multiple of 43081 and 43089?

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 43081 and 43089 is 1856317209.

LCM(43081,43089) = 1856317209

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Least Common Multiple of 43081 and 43089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43081 and 43089, than apply into the LCM equation.

GCF(43081,43089) = 1
LCM(43081,43089) = ( 43081 × 43089) / 1
LCM(43081,43089) = 1856317209 / 1
LCM(43081,43089) = 1856317209

Least Common Multiple (LCM) of 43081 and 43089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43081 and 43089. First we will calculate the prime factors of 43081 and 43089.

Prime Factorization of 43081

Prime factors of 43081 are 67, 643. Prime factorization of 43081 in exponential form is:

43081 = 671 × 6431

Prime Factorization of 43089

Prime factors of 43089 are 3, 53, 271. Prime factorization of 43089 in exponential form is:

43089 = 31 × 531 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 43081 and 43089.

LCM(43081,43089) = 671 × 6431 × 31 × 531 × 2711
LCM(43081,43089) = 1856317209