What is the Least Common Multiple of 52175 and 52188?

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 52175 and 52188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52175 and 52188, than apply into the LCM equation.

GCF(52175,52188) = 1
LCM(52175,52188) = ( 52175 × 52188) / 1
LCM(52175,52188) = 2722908900 / 1
LCM(52175,52188) = 2722908900

Least Common Multiple (LCM) of 52175 and 52188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52175 and 52188. First we will calculate the prime factors of 52175 and 52188.

Prime Factorization of 52175

Prime Factorization of 52188

Now multiplying the highest exponent prime factors to calculate the LCM of 52175 and 52188.

LCM(52175,52188) = 5² × 2087¹ × 2² × 3¹ × 4349¹
LCM(52175,52188) = 2722908900