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What is the Least Common Multiple of 80795 and 80811?

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 80795 and 80811 is 6529124745.

LCM(80795,80811) = 6529124745

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Least Common Multiple of 80795 and 80811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80795 and 80811, than apply into the LCM equation.

GCF(80795,80811) = 1
LCM(80795,80811) = ( 80795 × 80811) / 1
LCM(80795,80811) = 6529124745 / 1
LCM(80795,80811) = 6529124745

Least Common Multiple (LCM) of 80795 and 80811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80795 and 80811. First we will calculate the prime factors of 80795 and 80811.

Prime Factorization of 80795

Prime factors of 80795 are 5, 11, 13, 113. Prime factorization of 80795 in exponential form is:

80795 = 51 × 111 × 131 × 1131

Prime Factorization of 80811

Prime factors of 80811 are 3, 41, 73. Prime factorization of 80811 in exponential form is:

80811 = 33 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 80795 and 80811.

LCM(80795,80811) = 51 × 111 × 131 × 1131 × 33 × 411 × 731
LCM(80795,80811) = 6529124745