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What is the Least Common Multiple of 43161 and 43178?

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 43161 and 43178 is 1863605658.

LCM(43161,43178) = 1863605658

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Least Common Multiple of 43161 and 43178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43161 and 43178, than apply into the LCM equation.

GCF(43161,43178) = 1
LCM(43161,43178) = ( 43161 × 43178) / 1
LCM(43161,43178) = 1863605658 / 1
LCM(43161,43178) = 1863605658

Least Common Multiple (LCM) of 43161 and 43178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43161 and 43178. First we will calculate the prime factors of 43161 and 43178.

Prime Factorization of 43161

Prime factors of 43161 are 3, 14387. Prime factorization of 43161 in exponential form is:

43161 = 31 × 143871

Prime Factorization of 43178

Prime factors of 43178 are 2, 21589. Prime factorization of 43178 in exponential form is:

43178 = 21 × 215891

Now multiplying the highest exponent prime factors to calculate the LCM of 43161 and 43178.

LCM(43161,43178) = 31 × 143871 × 21 × 215891
LCM(43161,43178) = 1863605658