What is the Least Common Multiple of 52213 and 52232?

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 52213 and 52232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52213 and 52232, than apply into the LCM equation.

GCF(52213,52232) = 1
LCM(52213,52232) = ( 52213 × 52232) / 1
LCM(52213,52232) = 2727189416 / 1
LCM(52213,52232) = 2727189416

Least Common Multiple (LCM) of 52213 and 52232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52213 and 52232. First we will calculate the prime factors of 52213 and 52232.

Prime Factorization of 52213

Prime Factorization of 52232

Now multiplying the highest exponent prime factors to calculate the LCM of 52213 and 52232.

LCM(52213,52232) = 7¹ × 7459¹ × 2³ × 6529¹
LCM(52213,52232) = 2727189416