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What is the Least Common Multiple of 91686 and 91706?

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 91686 and 91706 is 4204078158.

LCM(91686,91706) = 4204078158

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Least Common Multiple of 91686 and 91706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91686 and 91706, than apply into the LCM equation.

GCF(91686,91706) = 2
LCM(91686,91706) = ( 91686 × 91706) / 2
LCM(91686,91706) = 8408156316 / 2
LCM(91686,91706) = 4204078158

Least Common Multiple (LCM) of 91686 and 91706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91686 and 91706. First we will calculate the prime factors of 91686 and 91706.

Prime Factorization of 91686

Prime factors of 91686 are 2, 3, 7, 37, 59. Prime factorization of 91686 in exponential form is:

91686 = 21 × 31 × 71 × 371 × 591

Prime Factorization of 91706

Prime factors of 91706 are 2, 45853. Prime factorization of 91706 in exponential form is:

91706 = 21 × 458531

Now multiplying the highest exponent prime factors to calculate the LCM of 91686 and 91706.

LCM(91686,91706) = 21 × 31 × 71 × 371 × 591 × 458531
LCM(91686,91706) = 4204078158