What is the Least Common Multiple of 2175 and 2188?

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 2175 and 2188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2175 and 2188, than apply into the LCM equation.

GCF(2175,2188) = 1
LCM(2175,2188) = ( 2175 × 2188) / 1
LCM(2175,2188) = 4758900 / 1
LCM(2175,2188) = 4758900

Least Common Multiple (LCM) of 2175 and 2188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2175 and 2188. First we will calculate the prime factors of 2175 and 2188.

Prime Factorization of 2175

Prime Factorization of 2188

Now multiplying the highest exponent prime factors to calculate the LCM of 2175 and 2188.

LCM(2175,2188) = 3¹ × 5² × 29¹ × 2² × 547¹
LCM(2175,2188) = 4758900