What is the Least Common Multiple of 32874 and 32880?

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 32874 and 32880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32874 and 32880, than apply into the LCM equation.

GCF(32874,32880) = 6
LCM(32874,32880) = ( 32874 × 32880) / 6
LCM(32874,32880) = 1080897120 / 6
LCM(32874,32880) = 180149520

Least Common Multiple (LCM) of 32874 and 32880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32874 and 32880. First we will calculate the prime factors of 32874 and 32880.

Prime Factorization of 32874

Prime Factorization of 32880

Now multiplying the highest exponent prime factors to calculate the LCM of 32874 and 32880.

LCM(32874,32880) = 2⁴ × 3¹ × 5479¹ × 5¹ × 137¹
LCM(32874,32880) = 180149520