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What is the Least Common Multiple of 2969 and 2989?

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 2969 and 2989 is 8874341.

LCM(2969,2989) = 8874341

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Least Common Multiple of 2969 and 2989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2969 and 2989, than apply into the LCM equation.

GCF(2969,2989) = 1
LCM(2969,2989) = ( 2969 × 2989) / 1
LCM(2969,2989) = 8874341 / 1
LCM(2969,2989) = 8874341

Least Common Multiple (LCM) of 2969 and 2989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2969 and 2989. First we will calculate the prime factors of 2969 and 2989.

Prime Factorization of 2969

Prime factors of 2969 are 2969. Prime factorization of 2969 in exponential form is:

2969 = 29691

Prime Factorization of 2989

Prime factors of 2989 are 7, 61. Prime factorization of 2989 in exponential form is:

2989 = 72 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2969 and 2989.

LCM(2969,2989) = 29691 × 72 × 611
LCM(2969,2989) = 8874341