What is the Least Common Multiple of 47934 and 47943?

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 47934 and 47943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47934 and 47943, than apply into the LCM equation.

GCF(47934,47943) = 9
LCM(47934,47943) = ( 47934 × 47943) / 9
LCM(47934,47943) = 2298099762 / 9
LCM(47934,47943) = 255344418

Least Common Multiple (LCM) of 47934 and 47943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47934 and 47943. First we will calculate the prime factors of 47934 and 47943.

Prime Factorization of 47934

Prime Factorization of 47943

Now multiplying the highest exponent prime factors to calculate the LCM of 47934 and 47943.

LCM(47934,47943) = 2¹ × 3² × 2663¹ × 7¹ × 761¹
LCM(47934,47943) = 255344418