What is the Least Common Multiple of 68589 and 68607?

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 68607 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 68607, than apply into the LCM equation.

GCF(68589,68607) = 9
LCM(68589,68607) = ( 68589 × 68607) / 9
LCM(68589,68607) = 4705685523 / 9
LCM(68589,68607) = 522853947

Least Common Multiple (LCM) of 68589 and 68607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68589 and 68607. First we will calculate the prime factors of 68589 and 68607.

Prime Factorization of 68589

Prime Factorization of 68607

Now multiplying the highest exponent prime factors to calculate the LCM of 68589 and 68607.

LCM(68589,68607) = 3⁴ × 7621¹ × 7¹ × 11²
LCM(68589,68607) = 522853947