What is the Least Common Multiple of 91091 and 91097?

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 91091 and 91097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91091 and 91097, than apply into the LCM equation.

GCF(91091,91097) = 1
LCM(91091,91097) = ( 91091 × 91097) / 1
LCM(91091,91097) = 8298116827 / 1
LCM(91091,91097) = 8298116827

Least Common Multiple (LCM) of 91091 and 91097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91091 and 91097. First we will calculate the prime factors of 91091 and 91097.

Prime Factorization of 91091

Prime Factorization of 91097

Now multiplying the highest exponent prime factors to calculate the LCM of 91091 and 91097.

LCM(91091,91097) = 7² × 11¹ × 13² × 91097¹
LCM(91091,91097) = 8298116827