What is the Least Common Multiple of 68589 and 68605?

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 68589 and 68605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68589 and 68605, than apply into the LCM equation.

GCF(68589,68605) = 1
LCM(68589,68605) = ( 68589 × 68605) / 1
LCM(68589,68605) = 4705548345 / 1
LCM(68589,68605) = 4705548345

Least Common Multiple (LCM) of 68589 and 68605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68589 and 68605. First we will calculate the prime factors of 68589 and 68605.

Prime Factorization of 68589

Prime Factorization of 68605

Now multiplying the highest exponent prime factors to calculate the LCM of 68589 and 68605.

LCM(68589,68605) = 3² × 7621¹ × 5¹ × 13721¹
LCM(68589,68605) = 4705548345