What is the Least Common Multiple of 39524 and 39542?

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 39524 and 39542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39524 and 39542, than apply into the LCM equation.

GCF(39524,39542) = 2
LCM(39524,39542) = ( 39524 × 39542) / 2
LCM(39524,39542) = 1562858008 / 2
LCM(39524,39542) = 781429004

Least Common Multiple (LCM) of 39524 and 39542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39524 and 39542. First we will calculate the prime factors of 39524 and 39542.

Prime Factorization of 39524

Prime Factorization of 39542

Now multiplying the highest exponent prime factors to calculate the LCM of 39524 and 39542.

LCM(39524,39542) = 2² × 41¹ × 241¹ × 17¹ × 1163¹
LCM(39524,39542) = 781429004