What is the Least Common Multiple of 58212 and 58218?

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 58212 and 58218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58212 and 58218, than apply into the LCM equation.

GCF(58212,58218) = 6
LCM(58212,58218) = ( 58212 × 58218) / 6
LCM(58212,58218) = 3388986216 / 6
LCM(58212,58218) = 564831036

Least Common Multiple (LCM) of 58212 and 58218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58212 and 58218. First we will calculate the prime factors of 58212 and 58218.

Prime Factorization of 58212

Prime Factorization of 58218

Now multiplying the highest exponent prime factors to calculate the LCM of 58212 and 58218.

LCM(58212,58218) = 2² × 3³ × 7² × 11¹ × 31¹ × 313¹
LCM(58212,58218) = 564831036