What is the Least Common Multiple of 96693 and 96699?

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 96693 and 96699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96693 and 96699, than apply into the LCM equation.

GCF(96693,96699) = 3
LCM(96693,96699) = ( 96693 × 96699) / 3
LCM(96693,96699) = 9350116407 / 3
LCM(96693,96699) = 3116705469

Least Common Multiple (LCM) of 96693 and 96699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96693 and 96699. First we will calculate the prime factors of 96693 and 96699.

Prime Factorization of 96693

Prime Factorization of 96699

Now multiplying the highest exponent prime factors to calculate the LCM of 96693 and 96699.

LCM(96693,96699) = 3¹ × 167¹ × 193¹ × 32233¹
LCM(96693,96699) = 3116705469