What is the Least Common Multiple of 52200 and 52205?

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 52200 and 52205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52200 and 52205, than apply into the LCM equation.

GCF(52200,52205) = 5
LCM(52200,52205) = ( 52200 × 52205) / 5
LCM(52200,52205) = 2725101000 / 5
LCM(52200,52205) = 545020200

Least Common Multiple (LCM) of 52200 and 52205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52200 and 52205. First we will calculate the prime factors of 52200 and 52205.

Prime Factorization of 52200

Prime Factorization of 52205

Now multiplying the highest exponent prime factors to calculate the LCM of 52200 and 52205.

LCM(52200,52205) = 2³ × 3² × 5² × 29¹ × 53¹ × 197¹
LCM(52200,52205) = 545020200