What is the Least Common Multiple of 32280 and 32288?

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 32280 and 32288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32280 and 32288, than apply into the LCM equation.

GCF(32280,32288) = 8
LCM(32280,32288) = ( 32280 × 32288) / 8
LCM(32280,32288) = 1042256640 / 8
LCM(32280,32288) = 130282080

Least Common Multiple (LCM) of 32280 and 32288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32280 and 32288. First we will calculate the prime factors of 32280 and 32288.

Prime Factorization of 32280

Prime Factorization of 32288

Now multiplying the highest exponent prime factors to calculate the LCM of 32280 and 32288.

LCM(32280,32288) = 2⁵ × 3¹ × 5¹ × 269¹ × 1009¹
LCM(32280,32288) = 130282080