What is the Least Common Multiple of 3589 and 3608?

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 3589 and 3608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3589 and 3608, than apply into the LCM equation.

GCF(3589,3608) = 1
LCM(3589,3608) = ( 3589 × 3608) / 1
LCM(3589,3608) = 12949112 / 1
LCM(3589,3608) = 12949112

Least Common Multiple (LCM) of 3589 and 3608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3589 and 3608. First we will calculate the prime factors of 3589 and 3608.

Prime Factorization of 3589

Prime Factorization of 3608

Now multiplying the highest exponent prime factors to calculate the LCM of 3589 and 3608.

LCM(3589,3608) = 37¹ × 97¹ × 2³ × 11¹ × 41¹
LCM(3589,3608) = 12949112