What is the Least Common Multiple of 52296 and 52300?

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 52296 and 52300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52296 and 52300, than apply into the LCM equation.

GCF(52296,52300) = 4
LCM(52296,52300) = ( 52296 × 52300) / 4
LCM(52296,52300) = 2735080800 / 4
LCM(52296,52300) = 683770200

Least Common Multiple (LCM) of 52296 and 52300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52296 and 52300. First we will calculate the prime factors of 52296 and 52300.

Prime Factorization of 52296

Prime Factorization of 52300

Now multiplying the highest exponent prime factors to calculate the LCM of 52296 and 52300.

LCM(52296,52300) = 2³ × 3¹ × 2179¹ × 5² × 523¹
LCM(52296,52300) = 683770200