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What is the Least Common Multiple of 80244 and 80254?

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 80244 and 80254 is 3219950988.

LCM(80244,80254) = 3219950988

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Least Common Multiple of 80244 and 80254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80244 and 80254, than apply into the LCM equation.

GCF(80244,80254) = 2
LCM(80244,80254) = ( 80244 × 80254) / 2
LCM(80244,80254) = 6439901976 / 2
LCM(80244,80254) = 3219950988

Least Common Multiple (LCM) of 80244 and 80254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80244 and 80254. First we will calculate the prime factors of 80244 and 80254.

Prime Factorization of 80244

Prime factors of 80244 are 2, 3, 743. Prime factorization of 80244 in exponential form is:

80244 = 22 × 33 × 7431

Prime Factorization of 80254

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

80254 = 21 × 401271

Now multiplying the highest exponent prime factors to calculate the LCM of 80244 and 80254.

LCM(80244,80254) = 22 × 33 × 7431 × 401271
LCM(80244,80254) = 3219950988