What is the Least Common Multiple of 80360 and 80369?

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 80360 and 80369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80360 and 80369, than apply into the LCM equation.

GCF(80360,80369) = 1
LCM(80360,80369) = ( 80360 × 80369) / 1
LCM(80360,80369) = 6458452840 / 1
LCM(80360,80369) = 6458452840

Least Common Multiple (LCM) of 80360 and 80369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80360 and 80369. First we will calculate the prime factors of 80360 and 80369.

Prime Factorization of 80360

Prime Factorization of 80369

Now multiplying the highest exponent prime factors to calculate the LCM of 80360 and 80369.

LCM(80360,80369) = 2³ × 5¹ × 7² × 41¹ × 80369¹
LCM(80360,80369) = 6458452840