What is the Least Common Multiple of 80530 and 80545?

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 80530 and 80545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80530 and 80545, than apply into the LCM equation.

GCF(80530,80545) = 5
LCM(80530,80545) = ( 80530 × 80545) / 5
LCM(80530,80545) = 6486288850 / 5
LCM(80530,80545) = 1297257770

Least Common Multiple (LCM) of 80530 and 80545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80530 and 80545. First we will calculate the prime factors of 80530 and 80545.

Prime Factorization of 80530

Prime Factorization of 80545

Now multiplying the highest exponent prime factors to calculate the LCM of 80530 and 80545.

LCM(80530,80545) = 2¹ × 5¹ × 8053¹ × 89¹ × 181¹
LCM(80530,80545) = 1297257770