What is the Least Common Multiple of 99775 and 99795?

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 99775 and 99795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99775 and 99795, than apply into the LCM equation.

GCF(99775,99795) = 5
LCM(99775,99795) = ( 99775 × 99795) / 5
LCM(99775,99795) = 9957046125 / 5
LCM(99775,99795) = 1991409225

Least Common Multiple (LCM) of 99775 and 99795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99775 and 99795. First we will calculate the prime factors of 99775 and 99795.

Prime Factorization of 99775

Prime Factorization of 99795

Now multiplying the highest exponent prime factors to calculate the LCM of 99775 and 99795.

LCM(99775,99795) = 5² × 13¹ × 307¹ × 3¹ × 6653¹
LCM(99775,99795) = 1991409225