What is the Least Common Multiple of 20944 and 20952?

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 20944 and 20952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20944 and 20952, than apply into the LCM equation.

GCF(20944,20952) = 8
LCM(20944,20952) = ( 20944 × 20952) / 8
LCM(20944,20952) = 438818688 / 8
LCM(20944,20952) = 54852336

Least Common Multiple (LCM) of 20944 and 20952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20944 and 20952. First we will calculate the prime factors of 20944 and 20952.

Prime Factorization of 20944

Prime Factorization of 20952

Now multiplying the highest exponent prime factors to calculate the LCM of 20944 and 20952.

LCM(20944,20952) = 2⁴ × 7¹ × 11¹ × 17¹ × 3³ × 97¹
LCM(20944,20952) = 54852336