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What is the Least Common Multiple of 9667 and 9686?

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 9667 and 9686 is 93634562.

LCM(9667,9686) = 93634562

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Least Common Multiple of 9667 and 9686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9667 and 9686, than apply into the LCM equation.

GCF(9667,9686) = 1
LCM(9667,9686) = ( 9667 × 9686) / 1
LCM(9667,9686) = 93634562 / 1
LCM(9667,9686) = 93634562

Least Common Multiple (LCM) of 9667 and 9686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9686. First we will calculate the prime factors of 9667 and 9686.

Prime Factorization of 9667

Prime factors of 9667 are 7, 1381. Prime factorization of 9667 in exponential form is:

9667 = 71 × 13811

Prime Factorization of 9686

Prime factors of 9686 are 2, 29, 167. Prime factorization of 9686 in exponential form is:

9686 = 21 × 291 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9686.

LCM(9667,9686) = 71 × 13811 × 21 × 291 × 1671
LCM(9667,9686) = 93634562