What is the Least Common Multiple of 64224 and 64233?

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 64233 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 64233, than apply into the LCM equation.

GCF(64224,64233) = 9
LCM(64224,64233) = ( 64224 × 64233) / 9
LCM(64224,64233) = 4125300192 / 9
LCM(64224,64233) = 458366688

Least Common Multiple (LCM) of 64224 and 64233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64224 and 64233. First we will calculate the prime factors of 64224 and 64233.

Prime Factorization of 64224

Prime Factorization of 64233

Now multiplying the highest exponent prime factors to calculate the LCM of 64224 and 64233.

LCM(64224,64233) = 2⁵ × 3⁴ × 223¹ × 13¹ × 61¹
LCM(64224,64233) = 458366688