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What is the Least Common Multiple of 10976 and 10985?

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 10976 and 10985 is 120571360.

LCM(10976,10985) = 120571360

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Least Common Multiple of 10976 and 10985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10976 and 10985, than apply into the LCM equation.

GCF(10976,10985) = 1
LCM(10976,10985) = ( 10976 × 10985) / 1
LCM(10976,10985) = 120571360 / 1
LCM(10976,10985) = 120571360

Least Common Multiple (LCM) of 10976 and 10985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10976 and 10985. First we will calculate the prime factors of 10976 and 10985.

Prime Factorization of 10976

Prime factors of 10976 are 2, 7. Prime factorization of 10976 in exponential form is:

10976 = 25 × 73

Prime Factorization of 10985

Prime factors of 10985 are 5, 13. Prime factorization of 10985 in exponential form is:

10985 = 51 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 10976 and 10985.

LCM(10976,10985) = 25 × 73 × 51 × 133
LCM(10976,10985) = 120571360