What is the Least Common Multiple of 52299 and 52307?

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 52299 and 52307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52299 and 52307, than apply into the LCM equation.

GCF(52299,52307) = 1
LCM(52299,52307) = ( 52299 × 52307) / 1
LCM(52299,52307) = 2735603793 / 1
LCM(52299,52307) = 2735603793

Least Common Multiple (LCM) of 52299 and 52307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52299 and 52307. First we will calculate the prime factors of 52299 and 52307.

Prime Factorization of 52299

Prime Factorization of 52307

Now multiplying the highest exponent prime factors to calculate the LCM of 52299 and 52307.

LCM(52299,52307) = 3³ × 13¹ × 149¹ × 19¹ × 2753¹
LCM(52299,52307) = 2735603793