What is the Least Common Multiple of 91791 and 91797?

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 91791 and 91797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91791 and 91797, than apply into the LCM equation.

GCF(91791,91797) = 3
LCM(91791,91797) = ( 91791 × 91797) / 3
LCM(91791,91797) = 8426138427 / 3
LCM(91791,91797) = 2808712809

Least Common Multiple (LCM) of 91791 and 91797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91791 and 91797. First we will calculate the prime factors of 91791 and 91797.

Prime Factorization of 91791

Prime Factorization of 91797

Now multiplying the highest exponent prime factors to calculate the LCM of 91791 and 91797.

LCM(91791,91797) = 3² × 7¹ × 31¹ × 47¹ × 37¹ × 827¹
LCM(91791,91797) = 2808712809