What is the Least Common Multiple of 66810 and 66827?

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 66810 and 66827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66810 and 66827, than apply into the LCM equation.

GCF(66810,66827) = 17
LCM(66810,66827) = ( 66810 × 66827) / 17
LCM(66810,66827) = 4464711870 / 17
LCM(66810,66827) = 262630110

Least Common Multiple (LCM) of 66810 and 66827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66810 and 66827. First we will calculate the prime factors of 66810 and 66827.

Prime Factorization of 66810

Prime Factorization of 66827

Now multiplying the highest exponent prime factors to calculate the LCM of 66810 and 66827.

LCM(66810,66827) = 2¹ × 3¹ × 5¹ × 17¹ × 131¹ × 3931¹
LCM(66810,66827) = 262630110