What is the Least Common Multiple of 91191 and 91197?

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 91191 and 91197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91191 and 91197, than apply into the LCM equation.

GCF(91191,91197) = 3
LCM(91191,91197) = ( 91191 × 91197) / 3
LCM(91191,91197) = 8316345627 / 3
LCM(91191,91197) = 2772115209

Least Common Multiple (LCM) of 91191 and 91197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91191 and 91197. First we will calculate the prime factors of 91191 and 91197.

Prime Factorization of 91191

Prime Factorization of 91197

Now multiplying the highest exponent prime factors to calculate the LCM of 91191 and 91197.

LCM(91191,91197) = 3² × 113¹ × 269¹ × 10133¹
LCM(91191,91197) = 2772115209