What is the Least Common Multiple of 20667 and 20678?

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 20667 and 20678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20667 and 20678, than apply into the LCM equation.

GCF(20667,20678) = 1
LCM(20667,20678) = ( 20667 × 20678) / 1
LCM(20667,20678) = 427352226 / 1
LCM(20667,20678) = 427352226

Least Common Multiple (LCM) of 20667 and 20678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20667 and 20678. First we will calculate the prime factors of 20667 and 20678.

Prime Factorization of 20667

Prime Factorization of 20678

Now multiplying the highest exponent prime factors to calculate the LCM of 20667 and 20678.

LCM(20667,20678) = 3¹ × 83² × 2¹ × 7² × 211¹
LCM(20667,20678) = 427352226