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What is the Least Common Multiple of 80723 and 80734?

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 80723 and 80734 is 6517090682.

LCM(80723,80734) = 6517090682

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Least Common Multiple of 80723 and 80734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80723 and 80734, than apply into the LCM equation.

GCF(80723,80734) = 1
LCM(80723,80734) = ( 80723 × 80734) / 1
LCM(80723,80734) = 6517090682 / 1
LCM(80723,80734) = 6517090682

Least Common Multiple (LCM) of 80723 and 80734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80723 and 80734. First we will calculate the prime factors of 80723 and 80734.

Prime Factorization of 80723

Prime factors of 80723 are 89, 907. Prime factorization of 80723 in exponential form is:

80723 = 891 × 9071

Prime Factorization of 80734

Prime factors of 80734 are 2, 37, 1091. Prime factorization of 80734 in exponential form is:

80734 = 21 × 371 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 80723 and 80734.

LCM(80723,80734) = 891 × 9071 × 21 × 371 × 10911
LCM(80723,80734) = 6517090682