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What is the Least Common Multiple of 40166 and 40179?

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 40166 and 40179 is 1613829714.

LCM(40166,40179) = 1613829714

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Least Common Multiple of 40166 and 40179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40166 and 40179, than apply into the LCM equation.

GCF(40166,40179) = 1
LCM(40166,40179) = ( 40166 × 40179) / 1
LCM(40166,40179) = 1613829714 / 1
LCM(40166,40179) = 1613829714

Least Common Multiple (LCM) of 40166 and 40179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40166 and 40179. First we will calculate the prime factors of 40166 and 40179.

Prime Factorization of 40166

Prime factors of 40166 are 2, 7, 19, 151. Prime factorization of 40166 in exponential form is:

40166 = 21 × 71 × 191 × 1511

Prime Factorization of 40179

Prime factors of 40179 are 3, 59, 227. Prime factorization of 40179 in exponential form is:

40179 = 31 × 591 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 40166 and 40179.

LCM(40166,40179) = 21 × 71 × 191 × 1511 × 31 × 591 × 2271
LCM(40166,40179) = 1613829714