What is the Least Common Multiple of 20925 and 20934?

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 20934 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 20934, than apply into the LCM equation.

GCF(20925,20934) = 9
LCM(20925,20934) = ( 20925 × 20934) / 9
LCM(20925,20934) = 438043950 / 9
LCM(20925,20934) = 48671550

Least Common Multiple (LCM) of 20925 and 20934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20925 and 20934. First we will calculate the prime factors of 20925 and 20934.

Prime Factorization of 20925

Prime Factorization of 20934

Now multiplying the highest exponent prime factors to calculate the LCM of 20925 and 20934.

LCM(20925,20934) = 3³ × 5² × 31¹ × 2¹ × 1163¹
LCM(20925,20934) = 48671550