What is the Least Common Multiple of 64209 and 64224?

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 64209 and 64224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64209 and 64224, than apply into the LCM equation.

GCF(64209,64224) = 3
LCM(64209,64224) = ( 64209 × 64224) / 3
LCM(64209,64224) = 4123758816 / 3
LCM(64209,64224) = 1374586272

Least Common Multiple (LCM) of 64209 and 64224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64209 and 64224. First we will calculate the prime factors of 64209 and 64224.

Prime Factorization of 64209

Prime Factorization of 64224

Now multiplying the highest exponent prime factors to calculate the LCM of 64209 and 64224.

LCM(64209,64224) = 3² × 17¹ × 1259¹ × 2⁵ × 223¹
LCM(64209,64224) = 1374586272