What is the Least Common Multiple of 52221 and 52234?

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 52221 and 52234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52221 and 52234, than apply into the LCM equation.

GCF(52221,52234) = 13
LCM(52221,52234) = ( 52221 × 52234) / 13
LCM(52221,52234) = 2727711714 / 13
LCM(52221,52234) = 209823978

Least Common Multiple (LCM) of 52221 and 52234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52221 and 52234. First we will calculate the prime factors of 52221 and 52234.

Prime Factorization of 52221

Prime Factorization of 52234

Now multiplying the highest exponent prime factors to calculate the LCM of 52221 and 52234.

LCM(52221,52234) = 3¹ × 13² × 103¹ × 2¹ × 7² × 41¹
LCM(52221,52234) = 209823978