What is the Least Common Multiple of 8932 and 8943?

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 8932 and 8943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8932 and 8943, than apply into the LCM equation.

GCF(8932,8943) = 11
LCM(8932,8943) = ( 8932 × 8943) / 11
LCM(8932,8943) = 79878876 / 11
LCM(8932,8943) = 7261716

Least Common Multiple (LCM) of 8932 and 8943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8943. First we will calculate the prime factors of 8932 and 8943.

Prime Factorization of 8932

Prime Factorization of 8943

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8943.

LCM(8932,8943) = 2² × 7¹ × 11¹ × 29¹ × 3¹ × 271¹
LCM(8932,8943) = 7261716