What is the Least Common Multiple of 63209 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 63209 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 63209 and 63224, than apply into the LCM equation.

GCF(63209,63224) = 1
LCM(63209,63224) = ( 63209 × 63224) / 1
LCM(63209,63224) = 3996325816 / 1
LCM(63209,63224) = 3996325816

Least Common Multiple (LCM) of 63209 and 63224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63209 and 63224. First we will calculate the prime factors of 63209 and 63224.

Prime Factorization of 63209

Prime Factorization of 63224

Now multiplying the highest exponent prime factors to calculate the LCM of 63209 and 63224.

LCM(63209,63224) = 31¹ × 2039¹ × 2³ × 7¹ × 1129¹
LCM(63209,63224) = 3996325816