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What is the Least Common Multiple of 2967 and 2981?

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 2967 and 2981 is 8844627.

LCM(2967,2981) = 8844627

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Least Common Multiple of 2967 and 2981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2967 and 2981, than apply into the LCM equation.

GCF(2967,2981) = 1
LCM(2967,2981) = ( 2967 × 2981) / 1
LCM(2967,2981) = 8844627 / 1
LCM(2967,2981) = 8844627

Least Common Multiple (LCM) of 2967 and 2981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2967 and 2981. First we will calculate the prime factors of 2967 and 2981.

Prime Factorization of 2967

Prime factors of 2967 are 3, 23, 43. Prime factorization of 2967 in exponential form is:

2967 = 31 × 231 × 431

Prime Factorization of 2981

Prime factors of 2981 are 11, 271. Prime factorization of 2981 in exponential form is:

2981 = 111 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2967 and 2981.

LCM(2967,2981) = 31 × 231 × 431 × 111 × 2711
LCM(2967,2981) = 8844627