What is the Least Common Multiple of 3603 and 3612?

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 3603 and 3612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3603 and 3612, than apply into the LCM equation.

GCF(3603,3612) = 3
LCM(3603,3612) = ( 3603 × 3612) / 3
LCM(3603,3612) = 13014036 / 3
LCM(3603,3612) = 4338012

Least Common Multiple (LCM) of 3603 and 3612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3612. First we will calculate the prime factors of 3603 and 3612.

Prime Factorization of 3603

Prime Factorization of 3612

Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3612.

LCM(3603,3612) = 3¹ × 1201¹ × 2² × 7¹ × 43¹
LCM(3603,3612) = 4338012