What is the Least Common Multiple of 3648 and 3654?

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 3648 and 3654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3648 and 3654, than apply into the LCM equation.

GCF(3648,3654) = 6
LCM(3648,3654) = ( 3648 × 3654) / 6
LCM(3648,3654) = 13329792 / 6
LCM(3648,3654) = 2221632

Least Common Multiple (LCM) of 3648 and 3654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3654. First we will calculate the prime factors of 3648 and 3654.

Prime Factorization of 3648

Prime Factorization of 3654

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3654.

LCM(3648,3654) = 2⁶ × 3² × 19¹ × 7¹ × 29¹
LCM(3648,3654) = 2221632