What is the Least Common Multiple of 20661 and 20673?

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 20661 and 20673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20661 and 20673, than apply into the LCM equation.

GCF(20661,20673) = 3
LCM(20661,20673) = ( 20661 × 20673) / 3
LCM(20661,20673) = 427124853 / 3
LCM(20661,20673) = 142374951

Least Common Multiple (LCM) of 20661 and 20673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20661 and 20673. First we will calculate the prime factors of 20661 and 20673.

Prime Factorization of 20661

Prime Factorization of 20673

Now multiplying the highest exponent prime factors to calculate the LCM of 20661 and 20673.

LCM(20661,20673) = 3² × 71¹ × 97¹ × 2297¹
LCM(20661,20673) = 142374951