What is the Least Common Multiple of 91164 and 91171?

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 91164 and 91171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91164 and 91171, than apply into the LCM equation.

GCF(91164,91171) = 1
LCM(91164,91171) = ( 91164 × 91171) / 1
LCM(91164,91171) = 8311513044 / 1
LCM(91164,91171) = 8311513044

Least Common Multiple (LCM) of 91164 and 91171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91164 and 91171. First we will calculate the prime factors of 91164 and 91171.

Prime Factorization of 91164

Prime Factorization of 91171

Now multiplying the highest exponent prime factors to calculate the LCM of 91164 and 91171.

LCM(91164,91171) = 2² × 3¹ × 71¹ × 107¹ × 17¹ × 31¹ × 173¹
LCM(91164,91171) = 8311513044