What is the Least Common Multiple of 3506 and 3524?

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 3506 and 3524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3506 and 3524, than apply into the LCM equation.

GCF(3506,3524) = 2
LCM(3506,3524) = ( 3506 × 3524) / 2
LCM(3506,3524) = 12355144 / 2
LCM(3506,3524) = 6177572

Least Common Multiple (LCM) of 3506 and 3524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3524. First we will calculate the prime factors of 3506 and 3524.

Prime Factorization of 3506

Prime Factorization of 3524

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3524.

LCM(3506,3524) = 2² × 1753¹ × 881¹
LCM(3506,3524) = 6177572