What is the Least Common Multiple of 63218 and 63224?

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 63218 and 63224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63218 and 63224, than apply into the LCM equation.

GCF(63218,63224) = 2
LCM(63218,63224) = ( 63218 × 63224) / 2
LCM(63218,63224) = 3996894832 / 2
LCM(63218,63224) = 1998447416

Least Common Multiple (LCM) of 63218 and 63224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63218 and 63224. First we will calculate the prime factors of 63218 and 63224.

Prime Factorization of 63218

Prime Factorization of 63224

Now multiplying the highest exponent prime factors to calculate the LCM of 63218 and 63224.

LCM(63218,63224) = 2³ × 73¹ × 433¹ × 7¹ × 1129¹
LCM(63218,63224) = 1998447416