What is the Least Common Multiple of 60600 and 60605?

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 60600 and 60605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60600 and 60605, than apply into the LCM equation.

GCF(60600,60605) = 5
LCM(60600,60605) = ( 60600 × 60605) / 5
LCM(60600,60605) = 3672663000 / 5
LCM(60600,60605) = 734532600

Least Common Multiple (LCM) of 60600 and 60605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60600 and 60605. First we will calculate the prime factors of 60600 and 60605.

Prime Factorization of 60600

Prime Factorization of 60605

Now multiplying the highest exponent prime factors to calculate the LCM of 60600 and 60605.

LCM(60600,60605) = 2³ × 3¹ × 5² × 101¹ × 17¹ × 23¹ × 31¹
LCM(60600,60605) = 734532600