What is the Least Common Multiple of 34224 and 34233?

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 34224 and 34233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34224 and 34233, than apply into the LCM equation.

GCF(34224,34233) = 3
LCM(34224,34233) = ( 34224 × 34233) / 3
LCM(34224,34233) = 1171590192 / 3
LCM(34224,34233) = 390530064

Least Common Multiple (LCM) of 34224 and 34233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34224 and 34233. First we will calculate the prime factors of 34224 and 34233.

Prime Factorization of 34224

Prime Factorization of 34233

Now multiplying the highest exponent prime factors to calculate the LCM of 34224 and 34233.

LCM(34224,34233) = 2⁴ × 3¹ × 23¹ × 31¹ × 11411¹
LCM(34224,34233) = 390530064