What is the Least Common Multiple of 3506 and 3519?

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 3519 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 3519, than apply into the LCM equation.

GCF(3506,3519) = 1
LCM(3506,3519) = ( 3506 × 3519) / 1
LCM(3506,3519) = 12337614 / 1
LCM(3506,3519) = 12337614

Least Common Multiple (LCM) of 3506 and 3519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3506 and 3519. First we will calculate the prime factors of 3506 and 3519.

Prime Factorization of 3506

Prime Factorization of 3519

Now multiplying the highest exponent prime factors to calculate the LCM of 3506 and 3519.

LCM(3506,3519) = 2¹ × 1753¹ × 3² × 17¹ × 23¹
LCM(3506,3519) = 12337614