What is the Least Common Multiple of 2164 and 2170?

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 2164 and 2170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2164 and 2170, than apply into the LCM equation.

GCF(2164,2170) = 2
LCM(2164,2170) = ( 2164 × 2170) / 2
LCM(2164,2170) = 4695880 / 2
LCM(2164,2170) = 2347940

Least Common Multiple (LCM) of 2164 and 2170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2170. First we will calculate the prime factors of 2164 and 2170.

Prime Factorization of 2164

Prime Factorization of 2170

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2170.

LCM(2164,2170) = 2² × 541¹ × 5¹ × 7¹ × 31¹
LCM(2164,2170) = 2347940