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What is the Least Common Multiple of 80159 and 80167?

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 80159 and 80167 is 6426106553.

LCM(80159,80167) = 6426106553

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Least Common Multiple of 80159 and 80167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80159 and 80167, than apply into the LCM equation.

GCF(80159,80167) = 1
LCM(80159,80167) = ( 80159 × 80167) / 1
LCM(80159,80167) = 6426106553 / 1
LCM(80159,80167) = 6426106553

Least Common Multiple (LCM) of 80159 and 80167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80159 and 80167. First we will calculate the prime factors of 80159 and 80167.

Prime Factorization of 80159

Prime factors of 80159 are 71, 1129. Prime factorization of 80159 in exponential form is:

80159 = 711 × 11291

Prime Factorization of 80167

Prime factors of 80167 are 80167. Prime factorization of 80167 in exponential form is:

80167 = 801671

Now multiplying the highest exponent prime factors to calculate the LCM of 80159 and 80167.

LCM(80159,80167) = 711 × 11291 × 801671
LCM(80159,80167) = 6426106553