What is the Least Common Multiple of 3519 and 3536?

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 3519 and 3536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3519 and 3536, than apply into the LCM equation.

GCF(3519,3536) = 17
LCM(3519,3536) = ( 3519 × 3536) / 17
LCM(3519,3536) = 12443184 / 17
LCM(3519,3536) = 731952

Least Common Multiple (LCM) of 3519 and 3536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3519 and 3536. First we will calculate the prime factors of 3519 and 3536.

Prime Factorization of 3519

Prime Factorization of 3536

Now multiplying the highest exponent prime factors to calculate the LCM of 3519 and 3536.

LCM(3519,3536) = 3² × 17¹ × 23¹ × 2⁴ × 13¹
LCM(3519,3536) = 731952