What is the Least Common Multiple of 52188 and 52197?

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 52188 and 52197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52188 and 52197, than apply into the LCM equation.

GCF(52188,52197) = 3
LCM(52188,52197) = ( 52188 × 52197) / 3
LCM(52188,52197) = 2724057036 / 3
LCM(52188,52197) = 908019012

Least Common Multiple (LCM) of 52188 and 52197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52188 and 52197. First we will calculate the prime factors of 52188 and 52197.

Prime Factorization of 52188

Prime Factorization of 52197

Now multiplying the highest exponent prime factors to calculate the LCM of 52188 and 52197.

LCM(52188,52197) = 2² × 3¹ × 4349¹ × 127¹ × 137¹
LCM(52188,52197) = 908019012