What is the Least Common Multiple of 80590 and 80596?

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 80590 and 80596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80590 and 80596, than apply into the LCM equation.

GCF(80590,80596) = 2
LCM(80590,80596) = ( 80590 × 80596) / 2
LCM(80590,80596) = 6495231640 / 2
LCM(80590,80596) = 3247615820

Least Common Multiple (LCM) of 80590 and 80596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80590 and 80596. First we will calculate the prime factors of 80590 and 80596.

Prime Factorization of 80590

Prime Factorization of 80596

Now multiplying the highest exponent prime factors to calculate the LCM of 80590 and 80596.

LCM(80590,80596) = 2² × 5¹ × 8059¹ × 20149¹
LCM(80590,80596) = 3247615820