What is the Least Common Multiple of 80840 and 80854?

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 80840 and 80854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80840 and 80854, than apply into the LCM equation.

GCF(80840,80854) = 2
LCM(80840,80854) = ( 80840 × 80854) / 2
LCM(80840,80854) = 6536237360 / 2
LCM(80840,80854) = 3268118680

Least Common Multiple (LCM) of 80840 and 80854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80840 and 80854. First we will calculate the prime factors of 80840 and 80854.

Prime Factorization of 80840

Prime Factorization of 80854

Now multiplying the highest exponent prime factors to calculate the LCM of 80840 and 80854.

LCM(80840,80854) = 2³ × 5¹ × 43¹ × 47¹ × 40427¹
LCM(80840,80854) = 3268118680