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What is the Least Common Multiple of 81088 and 81094?

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 81088 and 81094 is 3287875136.

LCM(81088,81094) = 3287875136

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Least Common Multiple of 81088 and 81094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81088 and 81094, than apply into the LCM equation.

GCF(81088,81094) = 2
LCM(81088,81094) = ( 81088 × 81094) / 2
LCM(81088,81094) = 6575750272 / 2
LCM(81088,81094) = 3287875136

Least Common Multiple (LCM) of 81088 and 81094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81088 and 81094. First we will calculate the prime factors of 81088 and 81094.

Prime Factorization of 81088

Prime factors of 81088 are 2, 7, 181. Prime factorization of 81088 in exponential form is:

81088 = 26 × 71 × 1811

Prime Factorization of 81094

Prime factors of 81094 are 2, 13, 3119. Prime factorization of 81094 in exponential form is:

81094 = 21 × 131 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 81088 and 81094.

LCM(81088,81094) = 26 × 71 × 1811 × 131 × 31191
LCM(81088,81094) = 3287875136