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What is the Least Common Multiple of 43081 and 43101?

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 43101 is 1856834181.

LCM(43081,43101) = 1856834181

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Least Common Multiple of 43081 and 43101 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 43101, than apply into the LCM equation.

GCF(43081,43101) = 1
LCM(43081,43101) = ( 43081 × 43101) / 1
LCM(43081,43101) = 1856834181 / 1
LCM(43081,43101) = 1856834181

Least Common Multiple (LCM) of 43081 and 43101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43081 and 43101. First we will calculate the prime factors of 43081 and 43101.

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 43101

Prime factors of 43101 are 3, 4789. Prime factorization of 43101 in exponential form is:

43101 = 32 × 47891

Now multiplying the highest exponent prime factors to calculate the LCM of 43081 and 43101.

LCM(43081,43101) = 671 × 6431 × 32 × 47891
LCM(43081,43101) = 1856834181