What is the Least Common Multiple of 74565 and 74585?

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 74565 and 74585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74565 and 74585, than apply into the LCM equation.

GCF(74565,74585) = 5
LCM(74565,74585) = ( 74565 × 74585) / 5
LCM(74565,74585) = 5561430525 / 5
LCM(74565,74585) = 1112286105

Least Common Multiple (LCM) of 74565 and 74585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74565 and 74585. First we will calculate the prime factors of 74565 and 74585.

Prime Factorization of 74565

Prime Factorization of 74585

Now multiplying the highest exponent prime factors to calculate the LCM of 74565 and 74585.

LCM(74565,74585) = 3² × 5¹ × 1657¹ × 7¹ × 2131¹
LCM(74565,74585) = 1112286105