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What is the Least Common Multiple of 80161 and 80178?

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 80161 and 80178 is 6427148658.

LCM(80161,80178) = 6427148658

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Least Common Multiple of 80161 and 80178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80161 and 80178, than apply into the LCM equation.

GCF(80161,80178) = 1
LCM(80161,80178) = ( 80161 × 80178) / 1
LCM(80161,80178) = 6427148658 / 1
LCM(80161,80178) = 6427148658

Least Common Multiple (LCM) of 80161 and 80178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80161 and 80178. First we will calculate the prime factors of 80161 and 80178.

Prime Factorization of 80161

Prime factors of 80161 are 19, 4219. Prime factorization of 80161 in exponential form is:

80161 = 191 × 42191

Prime Factorization of 80178

Prime factors of 80178 are 2, 3, 7, 23, 83. Prime factorization of 80178 in exponential form is:

80178 = 21 × 31 × 71 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 80161 and 80178.

LCM(80161,80178) = 191 × 42191 × 21 × 31 × 71 × 231 × 831
LCM(80161,80178) = 6427148658