What is the Least Common Multiple of 39585 and 39592?

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 39585 and 39592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39585 and 39592, than apply into the LCM equation.

GCF(39585,39592) = 7
LCM(39585,39592) = ( 39585 × 39592) / 7
LCM(39585,39592) = 1567249320 / 7
LCM(39585,39592) = 223892760

Least Common Multiple (LCM) of 39585 and 39592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39585 and 39592. First we will calculate the prime factors of 39585 and 39592.

Prime Factorization of 39585

Prime Factorization of 39592

Now multiplying the highest exponent prime factors to calculate the LCM of 39585 and 39592.

LCM(39585,39592) = 3¹ × 5¹ × 7² × 13¹ × 29¹ × 2³ × 101¹
LCM(39585,39592) = 223892760