What is the Least Common Multiple of 20320 and 20332?

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 20320 and 20332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20320 and 20332, than apply into the LCM equation.

GCF(20320,20332) = 4
LCM(20320,20332) = ( 20320 × 20332) / 4
LCM(20320,20332) = 413146240 / 4
LCM(20320,20332) = 103286560

Least Common Multiple (LCM) of 20320 and 20332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20320 and 20332. First we will calculate the prime factors of 20320 and 20332.

Prime Factorization of 20320

Prime Factorization of 20332

Now multiplying the highest exponent prime factors to calculate the LCM of 20320 and 20332.

LCM(20320,20332) = 2⁵ × 5¹ × 127¹ × 13¹ × 17¹ × 23¹
LCM(20320,20332) = 103286560