What is the Least Common Multiple of 79853 and 79873?

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 79853 and 79873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79853 and 79873, than apply into the LCM equation.

GCF(79853,79873) = 1
LCM(79853,79873) = ( 79853 × 79873) / 1
LCM(79853,79873) = 6378098669 / 1
LCM(79853,79873) = 6378098669

Least Common Multiple (LCM) of 79853 and 79873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79853 and 79873. First we will calculate the prime factors of 79853 and 79873.

Prime Factorization of 79853

Prime Factorization of 79873

Now multiplying the highest exponent prime factors to calculate the LCM of 79853 and 79873.

LCM(79853,79873) = 47¹ × 1699¹ × 79873¹
LCM(79853,79873) = 6378098669