What is the Least Common Multiple of 59460 and 59466?

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 59460 and 59466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59460 and 59466, than apply into the LCM equation.

GCF(59460,59466) = 6
LCM(59460,59466) = ( 59460 × 59466) / 6
LCM(59460,59466) = 3535848360 / 6
LCM(59460,59466) = 589308060

Least Common Multiple (LCM) of 59460 and 59466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59460 and 59466. First we will calculate the prime factors of 59460 and 59466.

Prime Factorization of 59460

Prime Factorization of 59466

Now multiplying the highest exponent prime factors to calculate the LCM of 59460 and 59466.

LCM(59460,59466) = 2² × 3¹ × 5¹ × 991¹ × 11¹ × 17¹ × 53¹
LCM(59460,59466) = 589308060