What is the Least Common Multiple of 19947 and 19956?

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 19947 and 19956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19947 and 19956, than apply into the LCM equation.

GCF(19947,19956) = 3
LCM(19947,19956) = ( 19947 × 19956) / 3
LCM(19947,19956) = 398062332 / 3
LCM(19947,19956) = 132687444

Least Common Multiple (LCM) of 19947 and 19956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19947 and 19956. First we will calculate the prime factors of 19947 and 19956.

Prime Factorization of 19947

Prime Factorization of 19956

Now multiplying the highest exponent prime factors to calculate the LCM of 19947 and 19956.

LCM(19947,19956) = 3¹ × 61¹ × 109¹ × 2² × 1663¹
LCM(19947,19956) = 132687444