What is the Least Common Multiple of 67947 and 67956?

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 67947 and 67956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67947 and 67956, than apply into the LCM equation.

GCF(67947,67956) = 3
LCM(67947,67956) = ( 67947 × 67956) / 3
LCM(67947,67956) = 4617406332 / 3
LCM(67947,67956) = 1539135444

Least Common Multiple (LCM) of 67947 and 67956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67947 and 67956. First we will calculate the prime factors of 67947 and 67956.

Prime Factorization of 67947

Prime Factorization of 67956

Now multiplying the highest exponent prime factors to calculate the LCM of 67947 and 67956.

LCM(67947,67956) = 3¹ × 11¹ × 29¹ × 71¹ × 2² × 7¹ × 809¹
LCM(67947,67956) = 1539135444