What is the Least Common Multiple of 59466 and 59484?

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 59466 and 59484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59466 and 59484, than apply into the LCM equation.

GCF(59466,59484) = 6
LCM(59466,59484) = ( 59466 × 59484) / 6
LCM(59466,59484) = 3537275544 / 6
LCM(59466,59484) = 589545924

Least Common Multiple (LCM) of 59466 and 59484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59466 and 59484. First we will calculate the prime factors of 59466 and 59484.

Prime Factorization of 59466

Prime Factorization of 59484

Now multiplying the highest exponent prime factors to calculate the LCM of 59466 and 59484.

LCM(59466,59484) = 2² × 3¹ × 11¹ × 17¹ × 53¹ × 4957¹
LCM(59466,59484) = 589545924