What is the Least Common Multiple of 35585 and 35605?

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 35585 and 35605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35585 and 35605, than apply into the LCM equation.

GCF(35585,35605) = 5
LCM(35585,35605) = ( 35585 × 35605) / 5
LCM(35585,35605) = 1267003925 / 5
LCM(35585,35605) = 253400785

Least Common Multiple (LCM) of 35585 and 35605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35585 and 35605. First we will calculate the prime factors of 35585 and 35605.

Prime Factorization of 35585

Prime Factorization of 35605

Now multiplying the highest exponent prime factors to calculate the LCM of 35585 and 35605.

LCM(35585,35605) = 5¹ × 11¹ × 647¹ × 7121¹
LCM(35585,35605) = 253400785