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What is the Least Common Multiple of 80149 and 80169?

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 80149 and 80169 is 6425465181.

LCM(80149,80169) = 6425465181

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Least Common Multiple of 80149 and 80169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80149 and 80169, than apply into the LCM equation.

GCF(80149,80169) = 1
LCM(80149,80169) = ( 80149 × 80169) / 1
LCM(80149,80169) = 6425465181 / 1
LCM(80149,80169) = 6425465181

Least Common Multiple (LCM) of 80149 and 80169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80149 and 80169. First we will calculate the prime factors of 80149 and 80169.

Prime Factorization of 80149

Prime factors of 80149 are 80149. Prime factorization of 80149 in exponential form is:

80149 = 801491

Prime Factorization of 80169

Prime factors of 80169 are 3, 26723. Prime factorization of 80169 in exponential form is:

80169 = 31 × 267231

Now multiplying the highest exponent prime factors to calculate the LCM of 80149 and 80169.

LCM(80149,80169) = 801491 × 31 × 267231
LCM(80149,80169) = 6425465181