What is the Least Common Multiple of 20934 and 20941?

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 20934 and 20941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20934 and 20941, than apply into the LCM equation.

GCF(20934,20941) = 1
LCM(20934,20941) = ( 20934 × 20941) / 1
LCM(20934,20941) = 438378894 / 1
LCM(20934,20941) = 438378894

Least Common Multiple (LCM) of 20934 and 20941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20934 and 20941. First we will calculate the prime factors of 20934 and 20941.

Prime Factorization of 20934

Prime Factorization of 20941

Now multiplying the highest exponent prime factors to calculate the LCM of 20934 and 20941.

LCM(20934,20941) = 2¹ × 3² × 1163¹ × 43¹ × 487¹
LCM(20934,20941) = 438378894