What is the Least Common Multiple of 66454 and 66459?

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 66454 and 66459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66454 and 66459, than apply into the LCM equation.

GCF(66454,66459) = 1
LCM(66454,66459) = ( 66454 × 66459) / 1
LCM(66454,66459) = 4416466386 / 1
LCM(66454,66459) = 4416466386

Least Common Multiple (LCM) of 66454 and 66459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66454 and 66459. First we will calculate the prime factors of 66454 and 66459.

Prime Factorization of 66454

Prime Factorization of 66459

Now multiplying the highest exponent prime factors to calculate the LCM of 66454 and 66459.

LCM(66454,66459) = 2¹ × 149¹ × 223¹ × 3¹ × 22153¹
LCM(66454,66459) = 4416466386