What is the Least Common Multiple of 76941 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 of 76941 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 76941 and 76956, than apply into the LCM equation.

GCF(76941,76956) = 3
LCM(76941,76956) = ( 76941 × 76956) / 3
LCM(76941,76956) = 5921071596 / 3
LCM(76941,76956) = 1973690532

Least Common Multiple (LCM) of 76941 and 76956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76941 and 76956. First we will calculate the prime factors of 76941 and 76956.

Prime Factorization of 76941

Prime Factorization of 76956

Now multiplying the highest exponent prime factors to calculate the LCM of 76941 and 76956.

LCM(76941,76956) = 3² × 83¹ × 103¹ × 2² × 11² × 53¹
LCM(76941,76956) = 1973690532