What is the Least Common Multiple of 20952 and 20960?

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 20952 and 20960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20952 and 20960, than apply into the LCM equation.

GCF(20952,20960) = 8
LCM(20952,20960) = ( 20952 × 20960) / 8
LCM(20952,20960) = 439153920 / 8
LCM(20952,20960) = 54894240

Least Common Multiple (LCM) of 20952 and 20960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20952 and 20960. First we will calculate the prime factors of 20952 and 20960.

Prime Factorization of 20952

Prime Factorization of 20960

Now multiplying the highest exponent prime factors to calculate the LCM of 20952 and 20960.

LCM(20952,20960) = 2⁵ × 3³ × 97¹ × 5¹ × 131¹
LCM(20952,20960) = 54894240