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What is the Least Common Multiple of 10680 and 10687?

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 10680 and 10687 is 114137160.

LCM(10680,10687) = 114137160

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Least Common Multiple of 10680 and 10687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10680 and 10687, than apply into the LCM equation.

GCF(10680,10687) = 1
LCM(10680,10687) = ( 10680 × 10687) / 1
LCM(10680,10687) = 114137160 / 1
LCM(10680,10687) = 114137160

Least Common Multiple (LCM) of 10680 and 10687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10680 and 10687. First we will calculate the prime factors of 10680 and 10687.

Prime Factorization of 10680

Prime factors of 10680 are 2, 3, 5, 89. Prime factorization of 10680 in exponential form is:

10680 = 23 × 31 × 51 × 891

Prime Factorization of 10687

Prime factors of 10687 are 10687. Prime factorization of 10687 in exponential form is:

10687 = 106871

Now multiplying the highest exponent prime factors to calculate the LCM of 10680 and 10687.

LCM(10680,10687) = 23 × 31 × 51 × 891 × 106871
LCM(10680,10687) = 114137160