What is the Least Common Multiple of 2154 and 2165?

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 2154 and 2165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2154 and 2165, than apply into the LCM equation.

GCF(2154,2165) = 1
LCM(2154,2165) = ( 2154 × 2165) / 1
LCM(2154,2165) = 4663410 / 1
LCM(2154,2165) = 4663410

Least Common Multiple (LCM) of 2154 and 2165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2165. First we will calculate the prime factors of 2154 and 2165.

Prime Factorization of 2154

Prime Factorization of 2165

Now multiplying the highest exponent prime factors to calculate the LCM of 2154 and 2165.

LCM(2154,2165) = 2¹ × 3¹ × 359¹ × 5¹ × 433¹
LCM(2154,2165) = 4663410