What is the Least Common Multiple of 32828 and 32840?

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 32828 and 32840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32828 and 32840, than apply into the LCM equation.

GCF(32828,32840) = 4
LCM(32828,32840) = ( 32828 × 32840) / 4
LCM(32828,32840) = 1078071520 / 4
LCM(32828,32840) = 269517880

Least Common Multiple (LCM) of 32828 and 32840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32828 and 32840. First we will calculate the prime factors of 32828 and 32840.

Prime Factorization of 32828

Prime Factorization of 32840

Now multiplying the highest exponent prime factors to calculate the LCM of 32828 and 32840.

LCM(32828,32840) = 2³ × 29¹ × 283¹ × 5¹ × 821¹
LCM(32828,32840) = 269517880