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What is the Least Common Multiple of 80787 and 80792?

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 80787 and 80792 is 6526943304.

LCM(80787,80792) = 6526943304

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Least Common Multiple of 80787 and 80792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80787 and 80792, than apply into the LCM equation.

GCF(80787,80792) = 1
LCM(80787,80792) = ( 80787 × 80792) / 1
LCM(80787,80792) = 6526943304 / 1
LCM(80787,80792) = 6526943304

Least Common Multiple (LCM) of 80787 and 80792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80787 and 80792. First we will calculate the prime factors of 80787 and 80792.

Prime Factorization of 80787

Prime factors of 80787 are 3, 7, 3847. Prime factorization of 80787 in exponential form is:

80787 = 31 × 71 × 38471

Prime Factorization of 80792

Prime factors of 80792 are 2, 10099. Prime factorization of 80792 in exponential form is:

80792 = 23 × 100991

Now multiplying the highest exponent prime factors to calculate the LCM of 80787 and 80792.

LCM(80787,80792) = 31 × 71 × 38471 × 23 × 100991
LCM(80787,80792) = 6526943304