What is the Least Common Multiple of 32288 and 32301?

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 32288 and 32301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32288 and 32301, than apply into the LCM equation.

GCF(32288,32301) = 1
LCM(32288,32301) = ( 32288 × 32301) / 1
LCM(32288,32301) = 1042934688 / 1
LCM(32288,32301) = 1042934688

Least Common Multiple (LCM) of 32288 and 32301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32288 and 32301. First we will calculate the prime factors of 32288 and 32301.

Prime Factorization of 32288

Prime Factorization of 32301

Now multiplying the highest exponent prime factors to calculate the LCM of 32288 and 32301.

LCM(32288,32301) = 2⁵ × 1009¹ × 3² × 37¹ × 97¹
LCM(32288,32301) = 1042934688