What is the Least Common Multiple of 20448 and 20461?

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 20461 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 20461, than apply into the LCM equation.

GCF(20448,20461) = 1
LCM(20448,20461) = ( 20448 × 20461) / 1
LCM(20448,20461) = 418386528 / 1
LCM(20448,20461) = 418386528

Least Common Multiple (LCM) of 20448 and 20461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20448 and 20461. First we will calculate the prime factors of 20448 and 20461.

Prime Factorization of 20448

Prime Factorization of 20461

Now multiplying the highest exponent prime factors to calculate the LCM of 20448 and 20461.

LCM(20448,20461) = 2⁵ × 3² × 71¹ × 7¹ × 37¹ × 79¹
LCM(20448,20461) = 418386528