What is the Least Common Multiple of 91155 and 91172?

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 91155 and 91172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91155 and 91172, than apply into the LCM equation.

GCF(91155,91172) = 1
LCM(91155,91172) = ( 91155 × 91172) / 1
LCM(91155,91172) = 8310783660 / 1
LCM(91155,91172) = 8310783660

Least Common Multiple (LCM) of 91155 and 91172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91155 and 91172. First we will calculate the prime factors of 91155 and 91172.

Prime Factorization of 91155

Prime Factorization of 91172

Now multiplying the highest exponent prime factors to calculate the LCM of 91155 and 91172.

LCM(91155,91172) = 3¹ × 5¹ × 59¹ × 103¹ × 2² × 23¹ × 991¹
LCM(91155,91172) = 8310783660