What is the Least Common Multiple of 20108 and 20119?

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 20108 and 20119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20108 and 20119, than apply into the LCM equation.

GCF(20108,20119) = 11
LCM(20108,20119) = ( 20108 × 20119) / 11
LCM(20108,20119) = 404552852 / 11
LCM(20108,20119) = 36777532

Least Common Multiple (LCM) of 20108 and 20119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20108 and 20119. First we will calculate the prime factors of 20108 and 20119.

Prime Factorization of 20108

Prime Factorization of 20119

Now multiplying the highest exponent prime factors to calculate the LCM of 20108 and 20119.

LCM(20108,20119) = 2² × 11¹ × 457¹ × 31¹ × 59¹
LCM(20108,20119) = 36777532