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What is the Least Common Multiple of 10667 and 10684?

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 10667 and 10684 is 113966228.

LCM(10667,10684) = 113966228

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Least Common Multiple of 10667 and 10684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10667 and 10684, than apply into the LCM equation.

GCF(10667,10684) = 1
LCM(10667,10684) = ( 10667 × 10684) / 1
LCM(10667,10684) = 113966228 / 1
LCM(10667,10684) = 113966228

Least Common Multiple (LCM) of 10667 and 10684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10667 and 10684. First we will calculate the prime factors of 10667 and 10684.

Prime Factorization of 10667

Prime factors of 10667 are 10667. Prime factorization of 10667 in exponential form is:

10667 = 106671

Prime Factorization of 10684

Prime factors of 10684 are 2, 2671. Prime factorization of 10684 in exponential form is:

10684 = 22 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 10667 and 10684.

LCM(10667,10684) = 106671 × 22 × 26711
LCM(10667,10684) = 113966228