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What is the Least Common Multiple of 81071 and 81085?

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 81071 and 81085 is 6573642035.

LCM(81071,81085) = 6573642035

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Least Common Multiple of 81071 and 81085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81071 and 81085, than apply into the LCM equation.

GCF(81071,81085) = 1
LCM(81071,81085) = ( 81071 × 81085) / 1
LCM(81071,81085) = 6573642035 / 1
LCM(81071,81085) = 6573642035

Least Common Multiple (LCM) of 81071 and 81085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81071 and 81085. First we will calculate the prime factors of 81071 and 81085.

Prime Factorization of 81071

Prime factors of 81071 are 81071. Prime factorization of 81071 in exponential form is:

81071 = 810711

Prime Factorization of 81085

Prime factors of 81085 are 5, 16217. Prime factorization of 81085 in exponential form is:

81085 = 51 × 162171

Now multiplying the highest exponent prime factors to calculate the LCM of 81071 and 81085.

LCM(81071,81085) = 810711 × 51 × 162171
LCM(81071,81085) = 6573642035