What is the Least Common Multiple of 20069 and 20078?

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 20069 and 20078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20069 and 20078, than apply into the LCM equation.

GCF(20069,20078) = 1
LCM(20069,20078) = ( 20069 × 20078) / 1
LCM(20069,20078) = 402945382 / 1
LCM(20069,20078) = 402945382

Least Common Multiple (LCM) of 20069 and 20078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20069 and 20078. First we will calculate the prime factors of 20069 and 20078.

Prime Factorization of 20069

Prime Factorization of 20078

Now multiplying the highest exponent prime factors to calculate the LCM of 20069 and 20078.

LCM(20069,20078) = 7¹ × 47¹ × 61¹ × 2¹ × 10039¹
LCM(20069,20078) = 402945382