What is the Least Common Multiple of 96693 and 96703?

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 96703 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 96703, than apply into the LCM equation.

GCF(96693,96703) = 1
LCM(96693,96703) = ( 96693 × 96703) / 1
LCM(96693,96703) = 9350503179 / 1
LCM(96693,96703) = 9350503179

Least Common Multiple (LCM) of 96693 and 96703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96693 and 96703. First we will calculate the prime factors of 96693 and 96703.

Prime Factorization of 96693

Prime Factorization of 96703

Now multiplying the highest exponent prime factors to calculate the LCM of 96693 and 96703.

LCM(96693,96703) = 3¹ × 167¹ × 193¹ × 96703¹
LCM(96693,96703) = 9350503179