What is the Least Common Multiple of 20840 and 20845?

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 20840 and 20845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20840 and 20845, than apply into the LCM equation.

GCF(20840,20845) = 5
LCM(20840,20845) = ( 20840 × 20845) / 5
LCM(20840,20845) = 434409800 / 5
LCM(20840,20845) = 86881960

Least Common Multiple (LCM) of 20840 and 20845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20840 and 20845. First we will calculate the prime factors of 20840 and 20845.

Prime Factorization of 20840

Prime Factorization of 20845

Now multiplying the highest exponent prime factors to calculate the LCM of 20840 and 20845.

LCM(20840,20845) = 2³ × 5¹ × 521¹ × 11¹ × 379¹
LCM(20840,20845) = 86881960