What is the Least Common Multiple of 62264 and 62284?

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 62264 and 62284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62264 and 62284, than apply into the LCM equation.

GCF(62264,62284) = 4
LCM(62264,62284) = ( 62264 × 62284) / 4
LCM(62264,62284) = 3878050976 / 4
LCM(62264,62284) = 969512744

Least Common Multiple (LCM) of 62264 and 62284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62264 and 62284. First we will calculate the prime factors of 62264 and 62284.

Prime Factorization of 62264

Prime Factorization of 62284

Now multiplying the highest exponent prime factors to calculate the LCM of 62264 and 62284.

LCM(62264,62284) = 2³ × 43¹ × 181¹ × 23¹ × 677¹
LCM(62264,62284) = 969512744