What is the Least Common Multiple of 2129 and 2145?

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 2129 and 2145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2129 and 2145, than apply into the LCM equation.

GCF(2129,2145) = 1
LCM(2129,2145) = ( 2129 × 2145) / 1
LCM(2129,2145) = 4566705 / 1
LCM(2129,2145) = 4566705

Least Common Multiple (LCM) of 2129 and 2145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2129 and 2145. First we will calculate the prime factors of 2129 and 2145.

Prime Factorization of 2129

Prime Factorization of 2145

Now multiplying the highest exponent prime factors to calculate the LCM of 2129 and 2145.

LCM(2129,2145) = 2129¹ × 3¹ × 5¹ × 11¹ × 13¹
LCM(2129,2145) = 4566705