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What is the Least Common Multiple of 80731 and 80751?

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 80731 and 80751 is 6519108981.

LCM(80731,80751) = 6519108981

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Least Common Multiple of 80731 and 80751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80731 and 80751, than apply into the LCM equation.

GCF(80731,80751) = 1
LCM(80731,80751) = ( 80731 × 80751) / 1
LCM(80731,80751) = 6519108981 / 1
LCM(80731,80751) = 6519108981

Least Common Multiple (LCM) of 80731 and 80751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80731 and 80751. First we will calculate the prime factors of 80731 and 80751.

Prime Factorization of 80731

Prime factors of 80731 are 7, 19, 607. Prime factorization of 80731 in exponential form is:

80731 = 71 × 191 × 6071

Prime Factorization of 80751

Prime factors of 80751 are 3, 11, 2447. Prime factorization of 80751 in exponential form is:

80751 = 31 × 111 × 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 80731 and 80751.

LCM(80731,80751) = 71 × 191 × 6071 × 31 × 111 × 24471
LCM(80731,80751) = 6519108981