Least Common Multiple of 4167 and 4172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4167 and 4172 the smallest integer that is 17384724 that is divisible by both numbers.

Least Common Multiple (LCM) of 4167 and 4172 is 17384724.

LCM(4167,4172) = 17384724

LCM of 4167 and 4172

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

LCM of:
and

Least Common Multiple of 4167 and 4172

LCM of 4167 and 4172 is 17384724

Least common multiple can be found by multiplying the highest exponent prime factors of 4167 and 4172. First we will calculate the prime factors of 4167 and 4172.

Prime Factorization of 4167


3 4167
3 1389
463 463
1

Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:

4167 = 32×4631

Prime Factorization of 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2, 7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4167 and 4172.

LCM(4167,4172) = 22×32×71×1491×4631
LCM(4167,4172) = 17384724

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1, 3, 9, 463, 1389, 4167

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172

Least Common Multiple of 4167 and 4172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4167 and 4172, than apply into the LCM equation.

GCF(4167,4172) = 1
LCM(4167,4172) = ( 4167 × 4172) / 1
LCM(4167,4172) = 17384724 / 1
LCM(4167,4172) = 17384724

Properties of LCM 4167 and 4172

(i) The LCM of 4172 and 4167 is associative

LCM of 4167 and 4172 = LCM of 4172 and 4167

Related Least Common Multiples of 4167

Related Least Common Multiples of 4172

Frequently Asked Questions on LCM of 4167 and 4172

1. What is the LCM of 4167 and 4172?

Answer: LCM of 4167 and 4172 is 17384724.

2. What are the Factors of 4167?

Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.

3. What are the Factors of 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

4. How to Find the LCM of 4167 and 4172?

Answer:

Least Common Multiple of 4167 and 4172 = 17384724

Step 1: Find the prime factorization of 4167

4167 = 3 x 3 x 463

Step 2: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

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

LCM = 17384724 = 2 x 2 x 3 x 3 x 7 x 149 x 463

Step 4: Therefore, the least common multiple of 4167 and 4172 is 17384724.