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What is the Least Common Multiple of 2956 and 2964?

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 2956 and 2964 is 2190396.

LCM(2956,2964) = 2190396

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Least Common Multiple of 2956 and 2964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2956 and 2964, than apply into the LCM equation.

GCF(2956,2964) = 4
LCM(2956,2964) = ( 2956 × 2964) / 4
LCM(2956,2964) = 8761584 / 4
LCM(2956,2964) = 2190396

Least Common Multiple (LCM) of 2956 and 2964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2956 and 2964. First we will calculate the prime factors of 2956 and 2964.

Prime Factorization of 2956

Prime factors of 2956 are 2, 739. Prime factorization of 2956 in exponential form is:

2956 = 22 × 7391

Prime Factorization of 2964

Prime factors of 2964 are 2, 3, 13, 19. Prime factorization of 2964 in exponential form is:

2964 = 22 × 31 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2956 and 2964.

LCM(2956,2964) = 22 × 7391 × 31 × 131 × 191
LCM(2956,2964) = 2190396