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What is the Least Common Multiple of 43151 and 43169?

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 43151 and 43169 is 1862785519.

LCM(43151,43169) = 1862785519

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Least Common Multiple of 43151 and 43169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43151 and 43169, than apply into the LCM equation.

GCF(43151,43169) = 1
LCM(43151,43169) = ( 43151 × 43169) / 1
LCM(43151,43169) = 1862785519 / 1
LCM(43151,43169) = 1862785519

Least Common Multiple (LCM) of 43151 and 43169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43151 and 43169. First we will calculate the prime factors of 43151 and 43169.

Prime Factorization of 43151

Prime factors of 43151 are 43151. Prime factorization of 43151 in exponential form is:

43151 = 431511

Prime Factorization of 43169

Prime factors of 43169 are 7, 881. Prime factorization of 43169 in exponential form is:

43169 = 72 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 43151 and 43169.

LCM(43151,43169) = 431511 × 72 × 8811
LCM(43151,43169) = 1862785519