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What is the Least Common Multiple of 10694 and 10707?

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 10694 and 10707 is 114500658.

LCM(10694,10707) = 114500658

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Least Common Multiple of 10694 and 10707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10694 and 10707, than apply into the LCM equation.

GCF(10694,10707) = 1
LCM(10694,10707) = ( 10694 × 10707) / 1
LCM(10694,10707) = 114500658 / 1
LCM(10694,10707) = 114500658

Least Common Multiple (LCM) of 10694 and 10707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10694 and 10707. First we will calculate the prime factors of 10694 and 10707.

Prime Factorization of 10694

Prime factors of 10694 are 2, 5347. Prime factorization of 10694 in exponential form is:

10694 = 21 × 53471

Prime Factorization of 10707

Prime factors of 10707 are 3, 43, 83. Prime factorization of 10707 in exponential form is:

10707 = 31 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 10694 and 10707.

LCM(10694,10707) = 21 × 53471 × 31 × 431 × 831
LCM(10694,10707) = 114500658