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What is the Least Common Multiple of 80247 and 80260?

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 80247 and 80260 is 6440624220.

LCM(80247,80260) = 6440624220

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Least Common Multiple of 80247 and 80260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80247 and 80260, than apply into the LCM equation.

GCF(80247,80260) = 1
LCM(80247,80260) = ( 80247 × 80260) / 1
LCM(80247,80260) = 6440624220 / 1
LCM(80247,80260) = 6440624220

Least Common Multiple (LCM) of 80247 and 80260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80247 and 80260. First we will calculate the prime factors of 80247 and 80260.

Prime Factorization of 80247

Prime factors of 80247 are 3, 23, 1163. Prime factorization of 80247 in exponential form is:

80247 = 31 × 231 × 11631

Prime Factorization of 80260

Prime factors of 80260 are 2, 5, 4013. Prime factorization of 80260 in exponential form is:

80260 = 22 × 51 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 80247 and 80260.

LCM(80247,80260) = 31 × 231 × 11631 × 22 × 51 × 40131
LCM(80247,80260) = 6440624220