What is the Least Common Multiple of 6633 and 6644?

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 6633 and 6644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6633 and 6644, than apply into the LCM equation.

GCF(6633,6644) = 11
LCM(6633,6644) = ( 6633 × 6644) / 11
LCM(6633,6644) = 44069652 / 11
LCM(6633,6644) = 4006332

Least Common Multiple (LCM) of 6633 and 6644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6633 and 6644. First we will calculate the prime factors of 6633 and 6644.

Prime Factorization of 6633

Prime Factorization of 6644

Now multiplying the highest exponent prime factors to calculate the LCM of 6633 and 6644.

LCM(6633,6644) = 3² × 11¹ × 67¹ × 2² × 151¹
LCM(6633,6644) = 4006332