What is the Least Common Multiple of 20075 and 20091?

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 20075 and 20091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20075 and 20091, than apply into the LCM equation.

GCF(20075,20091) = 1
LCM(20075,20091) = ( 20075 × 20091) / 1
LCM(20075,20091) = 403326825 / 1
LCM(20075,20091) = 403326825

Least Common Multiple (LCM) of 20075 and 20091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20075 and 20091. First we will calculate the prime factors of 20075 and 20091.

Prime Factorization of 20075

Prime Factorization of 20091

Now multiplying the highest exponent prime factors to calculate the LCM of 20075 and 20091.

LCM(20075,20091) = 5² × 11¹ × 73¹ × 3¹ × 37¹ × 181¹
LCM(20075,20091) = 403326825