What is the Least Common Multiple of 6644 and 6655?

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 6644 and 6655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6644 and 6655, than apply into the LCM equation.

GCF(6644,6655) = 11
LCM(6644,6655) = ( 6644 × 6655) / 11
LCM(6644,6655) = 44215820 / 11
LCM(6644,6655) = 4019620

Least Common Multiple (LCM) of 6644 and 6655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6644 and 6655. First we will calculate the prime factors of 6644 and 6655.

Prime Factorization of 6644

Prime Factorization of 6655

Now multiplying the highest exponent prime factors to calculate the LCM of 6644 and 6655.

LCM(6644,6655) = 2² × 11³ × 151¹ × 5¹
LCM(6644,6655) = 4019620