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What is the Least Common Multiple of 40187 and 40203?

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 40187 and 40203 is 1615637961.

LCM(40187,40203) = 1615637961

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Least Common Multiple of 40187 and 40203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40187 and 40203, than apply into the LCM equation.

GCF(40187,40203) = 1
LCM(40187,40203) = ( 40187 × 40203) / 1
LCM(40187,40203) = 1615637961 / 1
LCM(40187,40203) = 1615637961

Least Common Multiple (LCM) of 40187 and 40203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40187 and 40203. First we will calculate the prime factors of 40187 and 40203.

Prime Factorization of 40187

Prime factors of 40187 are 7, 5741. Prime factorization of 40187 in exponential form is:

40187 = 71 × 57411

Prime Factorization of 40203

Prime factors of 40203 are 3, 1489. Prime factorization of 40203 in exponential form is:

40203 = 33 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 40187 and 40203.

LCM(40187,40203) = 71 × 57411 × 33 × 14891
LCM(40187,40203) = 1615637961