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What is the Least Common Multiple of 80329 and 80338?

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 80329 and 80338 is 6453471202.

LCM(80329,80338) = 6453471202

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Least Common Multiple of 80329 and 80338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80329 and 80338, than apply into the LCM equation.

GCF(80329,80338) = 1
LCM(80329,80338) = ( 80329 × 80338) / 1
LCM(80329,80338) = 6453471202 / 1
LCM(80329,80338) = 6453471202

Least Common Multiple (LCM) of 80329 and 80338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80329 and 80338. First we will calculate the prime factors of 80329 and 80338.

Prime Factorization of 80329

Prime factors of 80329 are 80329. Prime factorization of 80329 in exponential form is:

80329 = 803291

Prime Factorization of 80338

Prime factors of 80338 are 2, 40169. Prime factorization of 80338 in exponential form is:

80338 = 21 × 401691

Now multiplying the highest exponent prime factors to calculate the LCM of 80329 and 80338.

LCM(80329,80338) = 803291 × 21 × 401691
LCM(80329,80338) = 6453471202