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What is the Least Common Multiple of 10968 and 10986?

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 10968 and 10986 is 20082408.

LCM(10968,10986) = 20082408

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Least Common Multiple of 10968 and 10986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10968 and 10986, than apply into the LCM equation.

GCF(10968,10986) = 6
LCM(10968,10986) = ( 10968 × 10986) / 6
LCM(10968,10986) = 120494448 / 6
LCM(10968,10986) = 20082408

Least Common Multiple (LCM) of 10968 and 10986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10968 and 10986. First we will calculate the prime factors of 10968 and 10986.

Prime Factorization of 10968

Prime factors of 10968 are 2, 3, 457. Prime factorization of 10968 in exponential form is:

10968 = 23 × 31 × 4571

Prime Factorization of 10986

Prime factors of 10986 are 2, 3, 1831. Prime factorization of 10986 in exponential form is:

10986 = 21 × 31 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 10968 and 10986.

LCM(10968,10986) = 23 × 31 × 4571 × 18311
LCM(10968,10986) = 20082408