What is the Least Common Multiple of 60200 and 60214?

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 60200 and 60214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60200 and 60214, than apply into the LCM equation.

GCF(60200,60214) = 14
LCM(60200,60214) = ( 60200 × 60214) / 14
LCM(60200,60214) = 3624882800 / 14
LCM(60200,60214) = 258920200

Least Common Multiple (LCM) of 60200 and 60214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60200 and 60214. First we will calculate the prime factors of 60200 and 60214.

Prime Factorization of 60200

Prime Factorization of 60214

Now multiplying the highest exponent prime factors to calculate the LCM of 60200 and 60214.

LCM(60200,60214) = 2³ × 5² × 7¹ × 43¹ × 11¹ × 17¹ × 23¹
LCM(60200,60214) = 258920200