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What is the Least Common Multiple of 80254 and 80258?

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 80254 and 80258 is 3220512766.

LCM(80254,80258) = 3220512766

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Least Common Multiple of 80254 and 80258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80254 and 80258, than apply into the LCM equation.

GCF(80254,80258) = 2
LCM(80254,80258) = ( 80254 × 80258) / 2
LCM(80254,80258) = 6441025532 / 2
LCM(80254,80258) = 3220512766

Least Common Multiple (LCM) of 80254 and 80258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80254 and 80258. First we will calculate the prime factors of 80254 and 80258.

Prime Factorization of 80254

Prime factors of 80254 are 2, 40127. Prime factorization of 80254 in exponential form is:

80254 = 21 × 401271

Prime Factorization of 80258

Prime factors of 80258 are 2, 40129. Prime factorization of 80258 in exponential form is:

80258 = 21 × 401291

Now multiplying the highest exponent prime factors to calculate the LCM of 80254 and 80258.

LCM(80254,80258) = 21 × 401271 × 401291
LCM(80254,80258) = 3220512766