What is the Least Common Multiple of 3628 and 3648?

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 3628 and 3648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3628 and 3648, than apply into the LCM equation.

GCF(3628,3648) = 4
LCM(3628,3648) = ( 3628 × 3648) / 4
LCM(3628,3648) = 13234944 / 4
LCM(3628,3648) = 3308736

Least Common Multiple (LCM) of 3628 and 3648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3648. First we will calculate the prime factors of 3628 and 3648.

Prime Factorization of 3628

Prime Factorization of 3648

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3648.

LCM(3628,3648) = 2⁶ × 907¹ × 3¹ × 19¹
LCM(3628,3648) = 3308736