What is the Least Common Multiple of 91689 and 91695?

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 91689 and 91695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91689 and 91695, than apply into the LCM equation.

GCF(91689,91695) = 3
LCM(91689,91695) = ( 91689 × 91695) / 3
LCM(91689,91695) = 8407422855 / 3
LCM(91689,91695) = 2802474285

Least Common Multiple (LCM) of 91689 and 91695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91689 and 91695. First we will calculate the prime factors of 91689 and 91695.

Prime Factorization of 91689

Prime Factorization of 91695

Now multiplying the highest exponent prime factors to calculate the LCM of 91689 and 91695.

LCM(91689,91695) = 3¹ × 13¹ × 2351¹ × 5¹ × 6113¹
LCM(91689,91695) = 2802474285