What is the Least Common Multiple of 60599 and 60606?

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 60599 and 60606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60599 and 60606, than apply into the LCM equation.

GCF(60599,60606) = 7
LCM(60599,60606) = ( 60599 × 60606) / 7
LCM(60599,60606) = 3672662994 / 7
LCM(60599,60606) = 524666142

Least Common Multiple (LCM) of 60599 and 60606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60599 and 60606. First we will calculate the prime factors of 60599 and 60606.

Prime Factorization of 60599

Prime Factorization of 60606

Now multiplying the highest exponent prime factors to calculate the LCM of 60599 and 60606.

LCM(60599,60606) = 7¹ × 11¹ × 787¹ × 2¹ × 3² × 13¹ × 37¹
LCM(60599,60606) = 524666142