What is the Least Common Multiple of 66258 and 66273?

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 66273 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 66273, than apply into the LCM equation.

GCF(66258,66273) = 3
LCM(66258,66273) = ( 66258 × 66273) / 3
LCM(66258,66273) = 4391116434 / 3
LCM(66258,66273) = 1463705478

Least Common Multiple (LCM) of 66258 and 66273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66258 and 66273. First we will calculate the prime factors of 66258 and 66273.

Prime Factorization of 66258

Prime Factorization of 66273

Now multiplying the highest exponent prime factors to calculate the LCM of 66258 and 66273.

LCM(66258,66273) = 2¹ × 3⁴ × 409¹ × 22091¹
LCM(66258,66273) = 1463705478