What is the Least Common Multiple of 52205 and 52210?

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 52205 and 52210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52205 and 52210, than apply into the LCM equation.

GCF(52205,52210) = 5
LCM(52205,52210) = ( 52205 × 52210) / 5
LCM(52205,52210) = 2725623050 / 5
LCM(52205,52210) = 545124610

Least Common Multiple (LCM) of 52205 and 52210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52205 and 52210. First we will calculate the prime factors of 52205 and 52210.

Prime Factorization of 52205

Prime Factorization of 52210

Now multiplying the highest exponent prime factors to calculate the LCM of 52205 and 52210.

LCM(52205,52210) = 5¹ × 53¹ × 197¹ × 2¹ × 23¹ × 227¹
LCM(52205,52210) = 545124610