What is the Least Common Multiple of 20925 and 20942?

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 20942 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 20942, than apply into the LCM equation.

GCF(20925,20942) = 1
LCM(20925,20942) = ( 20925 × 20942) / 1
LCM(20925,20942) = 438211350 / 1
LCM(20925,20942) = 438211350

Least Common Multiple (LCM) of 20925 and 20942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20925 and 20942. First we will calculate the prime factors of 20925 and 20942.

Prime Factorization of 20925

Prime Factorization of 20942

Now multiplying the highest exponent prime factors to calculate the LCM of 20925 and 20942.

LCM(20925,20942) = 3³ × 5² × 31¹ × 2¹ × 37¹ × 283¹
LCM(20925,20942) = 438211350