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What is the Least Common Multiple of 10679 and 10689?

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 10679 and 10689 is 114147831.

LCM(10679,10689) = 114147831

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Least Common Multiple of 10679 and 10689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10679 and 10689, than apply into the LCM equation.

GCF(10679,10689) = 1
LCM(10679,10689) = ( 10679 × 10689) / 1
LCM(10679,10689) = 114147831 / 1
LCM(10679,10689) = 114147831

Least Common Multiple (LCM) of 10679 and 10689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10679 and 10689. First we will calculate the prime factors of 10679 and 10689.

Prime Factorization of 10679

Prime factors of 10679 are 59, 181. Prime factorization of 10679 in exponential form is:

10679 = 591 × 1811

Prime Factorization of 10689

Prime factors of 10689 are 3, 7, 509. Prime factorization of 10689 in exponential form is:

10689 = 31 × 71 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 10679 and 10689.

LCM(10679,10689) = 591 × 1811 × 31 × 71 × 5091
LCM(10679,10689) = 114147831