What is the Least Common Multiple of 91143 and 91163?

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 91143 and 91163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91143 and 91163, than apply into the LCM equation.

GCF(91143,91163) = 1
LCM(91143,91163) = ( 91143 × 91163) / 1
LCM(91143,91163) = 8308869309 / 1
LCM(91143,91163) = 8308869309

Least Common Multiple (LCM) of 91143 and 91163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91143 and 91163. First we will calculate the prime factors of 91143 and 91163.

Prime Factorization of 91143

Prime Factorization of 91163

Now multiplying the highest exponent prime factors to calculate the LCM of 91143 and 91163.

LCM(91143,91163) = 3² × 13¹ × 19¹ × 41¹ × 91163¹
LCM(91143,91163) = 8308869309