What is the Least Common Multiple of 3504 and 3518?

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 3504 and 3518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3504 and 3518, than apply into the LCM equation.

GCF(3504,3518) = 2
LCM(3504,3518) = ( 3504 × 3518) / 2
LCM(3504,3518) = 12327072 / 2
LCM(3504,3518) = 6163536

Least Common Multiple (LCM) of 3504 and 3518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3504 and 3518. First we will calculate the prime factors of 3504 and 3518.

Prime Factorization of 3504

Prime Factorization of 3518

Now multiplying the highest exponent prime factors to calculate the LCM of 3504 and 3518.

LCM(3504,3518) = 2⁴ × 3¹ × 73¹ × 1759¹
LCM(3504,3518) = 6163536