Least Common Multiple of 2164 and 2172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2164 and 2172 the smallest integer that is 1175052 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2172 is 1175052.

LCM(2164,2172) = 1175052

LCM of 2164 and 2172

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2164 and 2172

LCM of 2164 and 2172 is 1175052

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2172. First we will calculate the prime factors of 2164 and 2172.

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2172.

LCM(2164,2172) = 22×31×1811×5411
LCM(2164,2172) = 1175052

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

Least Common Multiple of 2164 and 2172 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 2172, than apply into the LCM equation.

GCF(2164,2172) = 4
LCM(2164,2172) = ( 2164 × 2172) / 4
LCM(2164,2172) = 4700208 / 4
LCM(2164,2172) = 1175052

Properties of LCM 2164 and 2172

(i) The LCM of 2172 and 2164 is associative

LCM of 2164 and 2172 = LCM of 2172 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2172

Frequently Asked Questions on LCM of 2164 and 2172

1. What is the LCM of 2164 and 2172?

Answer: LCM of 2164 and 2172 is 1175052.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

3. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

4. How to Find the LCM of 2164 and 2172?

Answer:

Least Common Multiple of 2164 and 2172 = 1175052

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1175052 = 2 x 2 x 3 x 181 x 541

Step 4: Therefore, the least common multiple of 2164 and 2172 is 1175052.