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What is the Least Common Multiple of 80187 and 80203?

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 80187 and 80203 is 6431237961.

LCM(80187,80203) = 6431237961

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Least Common Multiple of 80187 and 80203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80187 and 80203, than apply into the LCM equation.

GCF(80187,80203) = 1
LCM(80187,80203) = ( 80187 × 80203) / 1
LCM(80187,80203) = 6431237961 / 1
LCM(80187,80203) = 6431237961

Least Common Multiple (LCM) of 80187 and 80203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80187 and 80203. First we will calculate the prime factors of 80187 and 80203.

Prime Factorization of 80187

Prime factors of 80187 are 3, 26729. Prime factorization of 80187 in exponential form is:

80187 = 31 × 267291

Prime Factorization of 80203

Prime factors of 80203 are 139, 577. Prime factorization of 80203 in exponential form is:

80203 = 1391 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 80187 and 80203.

LCM(80187,80203) = 31 × 267291 × 1391 × 5771
LCM(80187,80203) = 6431237961