What is the Least Common Multiple of 32224 and 32228?

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 32224 and 32228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32224 and 32228, than apply into the LCM equation.

GCF(32224,32228) = 4
LCM(32224,32228) = ( 32224 × 32228) / 4
LCM(32224,32228) = 1038515072 / 4
LCM(32224,32228) = 259628768

Least Common Multiple (LCM) of 32224 and 32228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32224 and 32228. First we will calculate the prime factors of 32224 and 32228.

Prime Factorization of 32224

Prime Factorization of 32228

Now multiplying the highest exponent prime factors to calculate the LCM of 32224 and 32228.

LCM(32224,32228) = 2⁵ × 19¹ × 53¹ × 7¹ × 1151¹
LCM(32224,32228) = 259628768