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What is the Least Common Multiple of 83163 and 83180?

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 83163 and 83180 is 6917498340.

LCM(83163,83180) = 6917498340

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Least Common Multiple of 83163 and 83180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83163 and 83180, than apply into the LCM equation.

GCF(83163,83180) = 1
LCM(83163,83180) = ( 83163 × 83180) / 1
LCM(83163,83180) = 6917498340 / 1
LCM(83163,83180) = 6917498340

Least Common Multiple (LCM) of 83163 and 83180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83163 and 83180. First we will calculate the prime factors of 83163 and 83180.

Prime Factorization of 83163

Prime factors of 83163 are 3, 19, 1459. Prime factorization of 83163 in exponential form is:

83163 = 31 × 191 × 14591

Prime Factorization of 83180

Prime factors of 83180 are 2, 5, 4159. Prime factorization of 83180 in exponential form is:

83180 = 22 × 51 × 41591

Now multiplying the highest exponent prime factors to calculate the LCM of 83163 and 83180.

LCM(83163,83180) = 31 × 191 × 14591 × 22 × 51 × 41591
LCM(83163,83180) = 6917498340