What is the Least Common Multiple of 2196 and 2201?

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 2196 and 2201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2196 and 2201, than apply into the LCM equation.

GCF(2196,2201) = 1
LCM(2196,2201) = ( 2196 × 2201) / 1
LCM(2196,2201) = 4833396 / 1
LCM(2196,2201) = 4833396

Least Common Multiple (LCM) of 2196 and 2201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2196 and 2201. First we will calculate the prime factors of 2196 and 2201.

Prime Factorization of 2196

Prime Factorization of 2201

Now multiplying the highest exponent prime factors to calculate the LCM of 2196 and 2201.

LCM(2196,2201) = 2² × 3² × 61¹ × 31¹ × 71¹
LCM(2196,2201) = 4833396