GCF and LCM Calculator Logo

What is the Least Common Multiple of 76943 and 76956?

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 76943 and 76956 is 5921225508.

LCM(76943,76956) = 5921225508

LCM Calculator and
and

Least Common Multiple of 76943 and 76956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76943 and 76956, than apply into the LCM equation.

GCF(76943,76956) = 1
LCM(76943,76956) = ( 76943 × 76956) / 1
LCM(76943,76956) = 5921225508 / 1
LCM(76943,76956) = 5921225508

Least Common Multiple (LCM) of 76943 and 76956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76943 and 76956. First we will calculate the prime factors of 76943 and 76956.

Prime Factorization of 76943

Prime factors of 76943 are 76943. Prime factorization of 76943 in exponential form is:

76943 = 769431

Prime Factorization of 76956

Prime factors of 76956 are 2, 3, 11, 53. Prime factorization of 76956 in exponential form is:

76956 = 22 × 31 × 112 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 76943 and 76956.

LCM(76943,76956) = 769431 × 22 × 31 × 112 × 531
LCM(76943,76956) = 5921225508