What is the Least Common Multiple of 58206 and 58212?

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 58206 and 58212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58206 and 58212, than apply into the LCM equation.

GCF(58206,58212) = 6
LCM(58206,58212) = ( 58206 × 58212) / 6
LCM(58206,58212) = 3388287672 / 6
LCM(58206,58212) = 564714612

Least Common Multiple (LCM) of 58206 and 58212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58206 and 58212. First we will calculate the prime factors of 58206 and 58212.

Prime Factorization of 58206

Prime Factorization of 58212

Now multiplying the highest exponent prime factors to calculate the LCM of 58206 and 58212.

LCM(58206,58212) = 2² × 3³ × 89¹ × 109¹ × 7² × 11¹
LCM(58206,58212) = 564714612