What is the Least Common Multiple of 9132 and 9143?

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 9132 and 9143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9132 and 9143, than apply into the LCM equation.

GCF(9132,9143) = 1
LCM(9132,9143) = ( 9132 × 9143) / 1
LCM(9132,9143) = 83493876 / 1
LCM(9132,9143) = 83493876

Least Common Multiple (LCM) of 9132 and 9143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9143. First we will calculate the prime factors of 9132 and 9143.

Prime Factorization of 9132

Prime Factorization of 9143

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9143.

LCM(9132,9143) = 2² × 3¹ × 761¹ × 41¹ × 223¹
LCM(9132,9143) = 83493876