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What is the Least Common Multiple of 969 and 981?

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 969 and 981 is 316863.

LCM(969,981) = 316863

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Least Common Multiple of 969 and 981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 969 and 981, than apply into the LCM equation.

GCF(969,981) = 3
LCM(969,981) = ( 969 × 981) / 3
LCM(969,981) = 950589 / 3
LCM(969,981) = 316863

Least Common Multiple (LCM) of 969 and 981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 981. First we will calculate the prime factors of 969 and 981.

Prime Factorization of 969

Prime factors of 969 are 3, 17, 19. Prime factorization of 969 in exponential form is:

969 = 31 × 171 × 191

Prime Factorization of 981

Prime factors of 981 are 3, 109. Prime factorization of 981 in exponential form is:

981 = 32 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 981.

LCM(969,981) = 32 × 171 × 191 × 1091
LCM(969,981) = 316863