What is the Least Common Multiple of 52264 and 52284?

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 52264 and 52284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52264 and 52284, than apply into the LCM equation.

GCF(52264,52284) = 4
LCM(52264,52284) = ( 52264 × 52284) / 4
LCM(52264,52284) = 2732570976 / 4
LCM(52264,52284) = 683142744

Least Common Multiple (LCM) of 52264 and 52284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52264 and 52284. First we will calculate the prime factors of 52264 and 52284.

Prime Factorization of 52264

Prime Factorization of 52284

Now multiplying the highest exponent prime factors to calculate the LCM of 52264 and 52284.

LCM(52264,52284) = 2³ × 47¹ × 139¹ × 3¹ × 4357¹
LCM(52264,52284) = 683142744