What is the Least Common Multiple of 20925 and 20944?

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 20925 and 20944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20925 and 20944, than apply into the LCM equation.

GCF(20925,20944) = 1
LCM(20925,20944) = ( 20925 × 20944) / 1
LCM(20925,20944) = 438253200 / 1
LCM(20925,20944) = 438253200

Least Common Multiple (LCM) of 20925 and 20944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20925 and 20944. First we will calculate the prime factors of 20925 and 20944.

Prime Factorization of 20925

Prime Factorization of 20944

Now multiplying the highest exponent prime factors to calculate the LCM of 20925 and 20944.

LCM(20925,20944) = 3³ × 5² × 31¹ × 2⁴ × 7¹ × 11¹ × 17¹
LCM(20925,20944) = 438253200