What is the Least Common Multiple of 34224 and 34228?

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 34228 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 34228, than apply into the LCM equation.

GCF(34224,34228) = 4
LCM(34224,34228) = ( 34224 × 34228) / 4
LCM(34224,34228) = 1171419072 / 4
LCM(34224,34228) = 292854768

Least Common Multiple (LCM) of 34224 and 34228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34224 and 34228. First we will calculate the prime factors of 34224 and 34228.

Prime Factorization of 34224

Prime Factorization of 34228

Now multiplying the highest exponent prime factors to calculate the LCM of 34224 and 34228.

LCM(34224,34228) = 2⁴ × 3¹ × 23¹ × 31¹ × 43¹ × 199¹
LCM(34224,34228) = 292854768