What is the Least Common Multiple of 58170 and 58188?

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 58170 and 58188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58170 and 58188, than apply into the LCM equation.

GCF(58170,58188) = 6
LCM(58170,58188) = ( 58170 × 58188) / 6
LCM(58170,58188) = 3384795960 / 6
LCM(58170,58188) = 564132660

Least Common Multiple (LCM) of 58170 and 58188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58170 and 58188. First we will calculate the prime factors of 58170 and 58188.

Prime Factorization of 58170

Prime Factorization of 58188

Now multiplying the highest exponent prime factors to calculate the LCM of 58170 and 58188.

LCM(58170,58188) = 2² × 3¹ × 5¹ × 7¹ × 277¹ × 13¹ × 373¹
LCM(58170,58188) = 564132660