What is the Least Common Multiple of 20270 and 20284?

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 20270 and 20284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20270 and 20284, than apply into the LCM equation.

GCF(20270,20284) = 2
LCM(20270,20284) = ( 20270 × 20284) / 2
LCM(20270,20284) = 411156680 / 2
LCM(20270,20284) = 205578340

Least Common Multiple (LCM) of 20270 and 20284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20270 and 20284. First we will calculate the prime factors of 20270 and 20284.

Prime Factorization of 20270

Prime Factorization of 20284

Now multiplying the highest exponent prime factors to calculate the LCM of 20270 and 20284.

LCM(20270,20284) = 2² × 5¹ × 2027¹ × 11¹ × 461¹
LCM(20270,20284) = 205578340