What is the Least Common Multiple of 62224 and 62232?

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 62224 and 62232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62224 and 62232, than apply into the LCM equation.

GCF(62224,62232) = 8
LCM(62224,62232) = ( 62224 × 62232) / 8
LCM(62224,62232) = 3872323968 / 8
LCM(62224,62232) = 484040496

Least Common Multiple (LCM) of 62224 and 62232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62224 and 62232. First we will calculate the prime factors of 62224 and 62232.

Prime Factorization of 62224

Prime Factorization of 62232

Now multiplying the highest exponent prime factors to calculate the LCM of 62224 and 62232.

LCM(62224,62232) = 2⁴ × 3889¹ × 3¹ × 2593¹
LCM(62224,62232) = 484040496