What is the Least Common Multiple of 64224 and 64230?

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 64224 and 64230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64224 and 64230, than apply into the LCM equation.

GCF(64224,64230) = 6
LCM(64224,64230) = ( 64224 × 64230) / 6
LCM(64224,64230) = 4125107520 / 6
LCM(64224,64230) = 687517920

Least Common Multiple (LCM) of 64224 and 64230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64224 and 64230. First we will calculate the prime factors of 64224 and 64230.

Prime Factorization of 64224

Prime Factorization of 64230

Now multiplying the highest exponent prime factors to calculate the LCM of 64224 and 64230.

LCM(64224,64230) = 2⁵ × 3² × 223¹ × 5¹ × 2141¹
LCM(64224,64230) = 687517920