What is the Least Common Multiple of 81578 and 81585?

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 81578 and 81585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81578 and 81585, than apply into the LCM equation.

GCF(81578,81585) = 7
LCM(81578,81585) = ( 81578 × 81585) / 7
LCM(81578,81585) = 6655541130 / 7
LCM(81578,81585) = 950791590

Least Common Multiple (LCM) of 81578 and 81585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81578 and 81585. First we will calculate the prime factors of 81578 and 81585.

Prime Factorization of 81578

Prime Factorization of 81585

Now multiplying the highest exponent prime factors to calculate the LCM of 81578 and 81585.

LCM(81578,81585) = 2¹ × 7² × 5827¹ × 3² × 5¹ × 37¹
LCM(81578,81585) = 950791590