What is the Least Common Multiple of 20150 and 20162?

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 20150 and 20162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20150 and 20162, than apply into the LCM equation.

GCF(20150,20162) = 2
LCM(20150,20162) = ( 20150 × 20162) / 2
LCM(20150,20162) = 406264300 / 2
LCM(20150,20162) = 203132150

Least Common Multiple (LCM) of 20150 and 20162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20150 and 20162. First we will calculate the prime factors of 20150 and 20162.

Prime Factorization of 20150

Prime Factorization of 20162

Now multiplying the highest exponent prime factors to calculate the LCM of 20150 and 20162.

LCM(20150,20162) = 2¹ × 5² × 13¹ × 31¹ × 17¹ × 593¹
LCM(20150,20162) = 203132150