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What is the Least Common Multiple of 40153 and 40166?

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 40153 and 40166 is 1612785398.

LCM(40153,40166) = 1612785398

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Least Common Multiple of 40153 and 40166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40153 and 40166, than apply into the LCM equation.

GCF(40153,40166) = 1
LCM(40153,40166) = ( 40153 × 40166) / 1
LCM(40153,40166) = 1612785398 / 1
LCM(40153,40166) = 1612785398

Least Common Multiple (LCM) of 40153 and 40166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40153 and 40166. First we will calculate the prime factors of 40153 and 40166.

Prime Factorization of 40153

Prime factors of 40153 are 40153. Prime factorization of 40153 in exponential form is:

40153 = 401531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 40153 and 40166.

LCM(40153,40166) = 401531 × 21 × 71 × 191 × 1511
LCM(40153,40166) = 1612785398