What is the Least Common Multiple of 60810 and 60817?

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 60810 and 60817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60810 and 60817, than apply into the LCM equation.

GCF(60810,60817) = 1
LCM(60810,60817) = ( 60810 × 60817) / 1
LCM(60810,60817) = 3698281770 / 1
LCM(60810,60817) = 3698281770

Least Common Multiple (LCM) of 60810 and 60817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60810 and 60817. First we will calculate the prime factors of 60810 and 60817.

Prime Factorization of 60810

Prime Factorization of 60817

Now multiplying the highest exponent prime factors to calculate the LCM of 60810 and 60817.

LCM(60810,60817) = 2¹ × 3¹ × 5¹ × 2027¹ × 61¹ × 997¹
LCM(60810,60817) = 3698281770