What is the Least Common Multiple of 52192 and 52208?

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 52192 and 52208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52192 and 52208, than apply into the LCM equation.

GCF(52192,52208) = 16
LCM(52192,52208) = ( 52192 × 52208) / 16
LCM(52192,52208) = 2724839936 / 16
LCM(52192,52208) = 170302496

Least Common Multiple (LCM) of 52192 and 52208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52192 and 52208. First we will calculate the prime factors of 52192 and 52208.

Prime Factorization of 52192

Prime Factorization of 52208

Now multiplying the highest exponent prime factors to calculate the LCM of 52192 and 52208.

LCM(52192,52208) = 2⁵ × 7¹ × 233¹ × 13¹ × 251¹
LCM(52192,52208) = 170302496