What is the Least Common Multiple of 20278 and 20294?

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 20278 and 20294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20278 and 20294, than apply into the LCM equation.

GCF(20278,20294) = 2
LCM(20278,20294) = ( 20278 × 20294) / 2
LCM(20278,20294) = 411521732 / 2
LCM(20278,20294) = 205760866

Least Common Multiple (LCM) of 20278 and 20294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20278 and 20294. First we will calculate the prime factors of 20278 and 20294.

Prime Factorization of 20278

Prime Factorization of 20294

Now multiplying the highest exponent prime factors to calculate the LCM of 20278 and 20294.

LCM(20278,20294) = 2¹ × 10139¹ × 73¹ × 139¹
LCM(20278,20294) = 205760866