GCF and LCM Calculator Logo

What is the Least Common Multiple of 2967 and 2982?

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 2982 is 2949198.

LCM(2967,2982) = 2949198

LCM Calculator and
and

Least Common Multiple of 2967 and 2982 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 2982, than apply into the LCM equation.

GCF(2967,2982) = 3
LCM(2967,2982) = ( 2967 × 2982) / 3
LCM(2967,2982) = 8847594 / 3
LCM(2967,2982) = 2949198

Least Common Multiple (LCM) of 2967 and 2982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2967 and 2982. First we will calculate the prime factors of 2967 and 2982.

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 2982

Prime factors of 2982 are 2, 3, 7, 71. Prime factorization of 2982 in exponential form is:

2982 = 21 × 31 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 2967 and 2982.

LCM(2967,2982) = 31 × 231 × 431 × 21 × 71 × 711
LCM(2967,2982) = 2949198