What is the Least Common Multiple of 80023 and 80041?

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 80023 and 80041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80023 and 80041, than apply into the LCM equation.

GCF(80023,80041) = 1
LCM(80023,80041) = ( 80023 × 80041) / 1
LCM(80023,80041) = 6405120943 / 1
LCM(80023,80041) = 6405120943

Least Common Multiple (LCM) of 80023 and 80041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80023 and 80041. First we will calculate the prime factors of 80023 and 80041.

Prime Factorization of 80023

Prime Factorization of 80041

Now multiplying the highest exponent prime factors to calculate the LCM of 80023 and 80041.

LCM(80023,80041) = 43¹ × 1861¹ × 13¹ × 47¹ × 131¹
LCM(80023,80041) = 6405120943