Least Common Multiple of 2167 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 2167 and 2172 the smallest integer that is 4706724 that is divisible by both numbers.

Least Common Multiple (LCM) of 2167 and 2172 is 4706724.

LCM(2167,2172) = 4706724

LCM of 2167 and 2172

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

LCM of:
and

Least Common Multiple of 2167 and 2172

LCM of 2167 and 2172 is 4706724

Least common multiple can be found by multiplying the highest exponent prime factors of 2167 and 2172. First we will calculate the prime factors of 2167 and 2172.

Prime Factorization of 2167


11 2167
197 197
1

Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:

2167 = 111×1971

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 2167 and 2172.

LCM(2167,2172) = 22×31×111×1811×1971
LCM(2167,2172) = 4706724

Factors of 2167

List of positive integer factors of 2167 that divides 2167 without a remainder.

1, 11, 197, 2167

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 2167 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 2167 and 2172, than apply into the LCM equation.

GCF(2167,2172) = 1
LCM(2167,2172) = ( 2167 × 2172) / 1
LCM(2167,2172) = 4706724 / 1
LCM(2167,2172) = 4706724

Properties of LCM 2167 and 2172

(i) The LCM of 2172 and 2167 is associative

LCM of 2167 and 2172 = LCM of 2172 and 2167

Related Least Common Multiples of 2167

Related Least Common Multiples of 2172

Frequently Asked Questions on LCM of 2167 and 2172

1. What is the LCM of 2167 and 2172?

Answer: LCM of 2167 and 2172 is 4706724.

2. What are the Factors of 2167?

Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.

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 2167 and 2172?

Answer:

Least Common Multiple of 2167 and 2172 = 4706724

Step 1: Find the prime factorization of 2167

2167 = 11 x 197

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 = 4706724 = 2 x 2 x 3 x 11 x 181 x 197

Step 4: Therefore, the least common multiple of 2167 and 2172 is 4706724.