What is the Least Common Multiple of 20448 and 20460?

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 20448 and 20460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20448 and 20460, than apply into the LCM equation.

GCF(20448,20460) = 12
LCM(20448,20460) = ( 20448 × 20460) / 12
LCM(20448,20460) = 418366080 / 12
LCM(20448,20460) = 34863840

Least Common Multiple (LCM) of 20448 and 20460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20448 and 20460. First we will calculate the prime factors of 20448 and 20460.

Prime Factorization of 20448

Prime Factorization of 20460

Now multiplying the highest exponent prime factors to calculate the LCM of 20448 and 20460.

LCM(20448,20460) = 2⁵ × 3² × 71¹ × 5¹ × 11¹ × 31¹
LCM(20448,20460) = 34863840