What is the Least Common Multiple of 52214 and 52230?

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 52214 and 52230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52214 and 52230, than apply into the LCM equation.

GCF(52214,52230) = 2
LCM(52214,52230) = ( 52214 × 52230) / 2
LCM(52214,52230) = 2727137220 / 2
LCM(52214,52230) = 1363568610

Least Common Multiple (LCM) of 52214 and 52230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52214 and 52230. First we will calculate the prime factors of 52214 and 52230.

Prime Factorization of 52214

Prime Factorization of 52230

Now multiplying the highest exponent prime factors to calculate the LCM of 52214 and 52230.

LCM(52214,52230) = 2¹ × 26107¹ × 3¹ × 5¹ × 1741¹
LCM(52214,52230) = 1363568610