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What is the Least Common Multiple of 78167 and 78187?

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 78167 and 78187 is 6111643229.

LCM(78167,78187) = 6111643229

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Least Common Multiple of 78167 and 78187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78167 and 78187, than apply into the LCM equation.

GCF(78167,78187) = 1
LCM(78167,78187) = ( 78167 × 78187) / 1
LCM(78167,78187) = 6111643229 / 1
LCM(78167,78187) = 6111643229

Least Common Multiple (LCM) of 78167 and 78187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78167 and 78187. First we will calculate the prime factors of 78167 and 78187.

Prime Factorization of 78167

Prime factors of 78167 are 78167. Prime factorization of 78167 in exponential form is:

78167 = 781671

Prime Factorization of 78187

Prime factors of 78187 are 41, 1907. Prime factorization of 78187 in exponential form is:

78187 = 411 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 78167 and 78187.

LCM(78167,78187) = 781671 × 411 × 19071
LCM(78167,78187) = 6111643229