What is the Least Common Multiple of 20193 and 20207?

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 20193 and 20207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20193 and 20207, than apply into the LCM equation.

GCF(20193,20207) = 1
LCM(20193,20207) = ( 20193 × 20207) / 1
LCM(20193,20207) = 408039951 / 1
LCM(20193,20207) = 408039951

Least Common Multiple (LCM) of 20193 and 20207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20193 and 20207. First we will calculate the prime factors of 20193 and 20207.

Prime Factorization of 20193

Prime Factorization of 20207

Now multiplying the highest exponent prime factors to calculate the LCM of 20193 and 20207.

LCM(20193,20207) = 3¹ × 53¹ × 127¹ × 11² × 167¹
LCM(20193,20207) = 408039951