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What is the Least Common Multiple of 10971 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 10971 and 10979 is 120450609.

LCM(10971,10979) = 120450609

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Least Common Multiple of 10971 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 10971 and 10979, than apply into the LCM equation.

GCF(10971,10979) = 1
LCM(10971,10979) = ( 10971 × 10979) / 1
LCM(10971,10979) = 120450609 / 1
LCM(10971,10979) = 120450609

Least Common Multiple (LCM) of 10971 and 10979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10971 and 10979. First we will calculate the prime factors of 10971 and 10979.

Prime Factorization of 10971

Prime factors of 10971 are 3, 23, 53. Prime factorization of 10971 in exponential form is:

10971 = 32 × 231 × 531

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 10971 and 10979.

LCM(10971,10979) = 32 × 231 × 531 × 109791
LCM(10971,10979) = 120450609