What is the Least Common Multiple of 66258 and 66268?

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 66258 and 66268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66258 and 66268, than apply into the LCM equation.

GCF(66258,66268) = 2
LCM(66258,66268) = ( 66258 × 66268) / 2
LCM(66258,66268) = 4390785144 / 2
LCM(66258,66268) = 2195392572

Least Common Multiple (LCM) of 66258 and 66268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66258 and 66268. First we will calculate the prime factors of 66258 and 66268.

Prime Factorization of 66258

Prime Factorization of 66268

Now multiplying the highest exponent prime factors to calculate the LCM of 66258 and 66268.

LCM(66258,66268) = 2² × 3⁴ × 409¹ × 16567¹
LCM(66258,66268) = 2195392572