What is the Least Common Multiple of 45459 and 45466?

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 45459 and 45466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45459 and 45466, than apply into the LCM equation.

GCF(45459,45466) = 1
LCM(45459,45466) = ( 45459 × 45466) / 1
LCM(45459,45466) = 2066838894 / 1
LCM(45459,45466) = 2066838894

Least Common Multiple (LCM) of 45459 and 45466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45459 and 45466. First we will calculate the prime factors of 45459 and 45466.

Prime Factorization of 45459

Prime Factorization of 45466

Now multiplying the highest exponent prime factors to calculate the LCM of 45459 and 45466.

LCM(45459,45466) = 3² × 5051¹ × 2¹ × 127¹ × 179¹
LCM(45459,45466) = 2066838894