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What is the Least Common Multiple of 2958 and 2967?

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 2958 and 2967 is 2925462.

LCM(2958,2967) = 2925462

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Least Common Multiple of 2958 and 2967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2958 and 2967, than apply into the LCM equation.

GCF(2958,2967) = 3
LCM(2958,2967) = ( 2958 × 2967) / 3
LCM(2958,2967) = 8776386 / 3
LCM(2958,2967) = 2925462

Least Common Multiple (LCM) of 2958 and 2967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2967. First we will calculate the prime factors of 2958 and 2967.

Prime Factorization of 2958

Prime factors of 2958 are 2, 3, 17, 29. Prime factorization of 2958 in exponential form is:

2958 = 21 × 31 × 171 × 291

Prime Factorization of 2967

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

2967 = 31 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2967.

LCM(2958,2967) = 21 × 31 × 171 × 291 × 231 × 431
LCM(2958,2967) = 2925462