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What is the Least Common Multiple of 10971 and 10981?

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 10981 is 120472551.

LCM(10971,10981) = 120472551

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Least Common Multiple of 10971 and 10981 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 10981, than apply into the LCM equation.

GCF(10971,10981) = 1
LCM(10971,10981) = ( 10971 × 10981) / 1
LCM(10971,10981) = 120472551 / 1
LCM(10971,10981) = 120472551

Least Common Multiple (LCM) of 10971 and 10981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10971 and 10981. First we will calculate the prime factors of 10971 and 10981.

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 10981

Prime factors of 10981 are 79, 139. Prime factorization of 10981 in exponential form is:

10981 = 791 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10971 and 10981.

LCM(10971,10981) = 32 × 231 × 531 × 791 × 1391
LCM(10971,10981) = 120472551