What is the Least Common Multiple of 20860 and 20874?

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 20860 and 20874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20860 and 20874, than apply into the LCM equation.

GCF(20860,20874) = 14
LCM(20860,20874) = ( 20860 × 20874) / 14
LCM(20860,20874) = 435431640 / 14
LCM(20860,20874) = 31102260

Least Common Multiple (LCM) of 20860 and 20874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20860 and 20874. First we will calculate the prime factors of 20860 and 20874.

Prime Factorization of 20860

Prime Factorization of 20874

Now multiplying the highest exponent prime factors to calculate the LCM of 20860 and 20874.

LCM(20860,20874) = 2² × 5¹ × 7² × 149¹ × 3¹ × 71¹
LCM(20860,20874) = 31102260