What is the Least Common Multiple of 20960 and 20974?

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 20960 and 20974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20960 and 20974, than apply into the LCM equation.

GCF(20960,20974) = 2
LCM(20960,20974) = ( 20960 × 20974) / 2
LCM(20960,20974) = 439615040 / 2
LCM(20960,20974) = 219807520

Least Common Multiple (LCM) of 20960 and 20974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20960 and 20974. First we will calculate the prime factors of 20960 and 20974.

Prime Factorization of 20960

Prime Factorization of 20974

Now multiplying the highest exponent prime factors to calculate the LCM of 20960 and 20974.

LCM(20960,20974) = 2⁵ × 5¹ × 131¹ × 10487¹
LCM(20960,20974) = 219807520