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What is the Least Common Multiple of 10963 and 10979?

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 10963 and 10979 is 120362777.

LCM(10963,10979) = 120362777

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Least Common Multiple of 10963 and 10979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10963 and 10979, than apply into the LCM equation.

GCF(10963,10979) = 1
LCM(10963,10979) = ( 10963 × 10979) / 1
LCM(10963,10979) = 120362777 / 1
LCM(10963,10979) = 120362777

Least Common Multiple (LCM) of 10963 and 10979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10963 and 10979. First we will calculate the prime factors of 10963 and 10979.

Prime Factorization of 10963

Prime factors of 10963 are 19, 577. Prime factorization of 10963 in exponential form is:

10963 = 191 × 5771

Prime Factorization of 10979

Prime factors of 10979 are 10979. Prime factorization of 10979 in exponential form is:

10979 = 109791

Now multiplying the highest exponent prime factors to calculate the LCM of 10963 and 10979.

LCM(10963,10979) = 191 × 5771 × 109791
LCM(10963,10979) = 120362777