What is the Least Common Multiple of 32272 and 32280?

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 32272 and 32280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32272 and 32280, than apply into the LCM equation.

GCF(32272,32280) = 8
LCM(32272,32280) = ( 32272 × 32280) / 8
LCM(32272,32280) = 1041740160 / 8
LCM(32272,32280) = 130217520

Least Common Multiple (LCM) of 32272 and 32280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32272 and 32280. First we will calculate the prime factors of 32272 and 32280.

Prime Factorization of 32272

Prime Factorization of 32280

Now multiplying the highest exponent prime factors to calculate the LCM of 32272 and 32280.

LCM(32272,32280) = 2⁴ × 2017¹ × 3¹ × 5¹ × 269¹
LCM(32272,32280) = 130217520