What is the Least Common Multiple of 32224 and 32235?

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 32235 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 32235, than apply into the LCM equation.

GCF(32224,32235) = 1
LCM(32224,32235) = ( 32224 × 32235) / 1
LCM(32224,32235) = 1038740640 / 1
LCM(32224,32235) = 1038740640

Least Common Multiple (LCM) of 32224 and 32235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32224 and 32235. First we will calculate the prime factors of 32224 and 32235.

Prime Factorization of 32224

Prime Factorization of 32235

Now multiplying the highest exponent prime factors to calculate the LCM of 32224 and 32235.

LCM(32224,32235) = 2⁵ × 19¹ × 53¹ × 3¹ × 5¹ × 7¹ × 307¹
LCM(32224,32235) = 1038740640