What is the Least Common Multiple of 2145 and 2163?

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 2145 and 2163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2145 and 2163, than apply into the LCM equation.

GCF(2145,2163) = 3
LCM(2145,2163) = ( 2145 × 2163) / 3
LCM(2145,2163) = 4639635 / 3
LCM(2145,2163) = 1546545

Least Common Multiple (LCM) of 2145 and 2163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2145 and 2163. First we will calculate the prime factors of 2145 and 2163.

Prime Factorization of 2145

Prime Factorization of 2163

Now multiplying the highest exponent prime factors to calculate the LCM of 2145 and 2163.

LCM(2145,2163) = 3¹ × 5¹ × 11¹ × 13¹ × 7¹ × 103¹
LCM(2145,2163) = 1546545