What is the Least Common Multiple of 69683 and 69703?

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 69683 and 69703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69683 and 69703, than apply into the LCM equation.

GCF(69683,69703) = 1
LCM(69683,69703) = ( 69683 × 69703) / 1
LCM(69683,69703) = 4857114149 / 1
LCM(69683,69703) = 4857114149

Least Common Multiple (LCM) of 69683 and 69703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69683 and 69703. First we will calculate the prime factors of 69683 and 69703.

Prime Factorization of 69683

Prime Factorization of 69703

Now multiplying the highest exponent prime factors to calculate the LCM of 69683 and 69703.

LCM(69683,69703) = 17¹ × 4099¹ × 43¹ × 1621¹
LCM(69683,69703) = 4857114149