What is the Least Common Multiple of 60186 and 60200?

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 60186 and 60200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60186 and 60200, than apply into the LCM equation.

GCF(60186,60200) = 14
LCM(60186,60200) = ( 60186 × 60200) / 14
LCM(60186,60200) = 3623197200 / 14
LCM(60186,60200) = 258799800

Least Common Multiple (LCM) of 60186 and 60200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60186 and 60200. First we will calculate the prime factors of 60186 and 60200.

Prime Factorization of 60186

Prime Factorization of 60200

Now multiplying the highest exponent prime factors to calculate the LCM of 60186 and 60200.

LCM(60186,60200) = 2³ × 3¹ × 7¹ × 1433¹ × 5² × 43¹
LCM(60186,60200) = 258799800