Least Common Multiple of 4172 and 4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4172 and 4180 the smallest integer that is 4359740 that is divisible by both numbers.

Least Common Multiple (LCM) of 4172 and 4180 is 4359740.

LCM(4172,4180) = 4359740

LCM of 4172 and 4180

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

LCM of:
and

Least Common Multiple of 4172 and 4180

LCM of 4172 and 4180 is 4359740

Least common multiple can be found by multiplying the highest exponent prime factors of 4172 and 4180. First we will calculate the prime factors of 4172 and 4180.

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

Prime Factorization of 4180


2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 4180 are 2, 5, 11,19. Prime factorization of 4180 in exponential form is:

4180 = 22×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4172 and 4180.

LCM(4172,4180) = 22×51×71×111×191×1491
LCM(4172,4180) = 4359740

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

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180

Least Common Multiple of 4172 and 4180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4172 and 4180, than apply into the LCM equation.

GCF(4172,4180) = 4
LCM(4172,4180) = ( 4172 × 4180) / 4
LCM(4172,4180) = 17438960 / 4
LCM(4172,4180) = 4359740

Properties of LCM 4172 and 4180

(i) The LCM of 4180 and 4172 is associative

LCM of 4172 and 4180 = LCM of 4180 and 4172

Related Least Common Multiples of 4172

Related Least Common Multiples of 4180

Frequently Asked Questions on LCM of 4172 and 4180

1. What is the LCM of 4172 and 4180?

Answer: LCM of 4172 and 4180 is 4359740.

2. 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.

3. What are the Factors of 4180?

Answer: Factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180. There are 24 integers that are factors of 4180. The greatest factor of 4180 is 4180.

4. How to Find the LCM of 4172 and 4180?

Answer:

Least Common Multiple of 4172 and 4180 = 4359740

Step 1: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

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

LCM = 4359740 = 2 x 2 x 5 x 7 x 11 x 19 x 149

Step 4: Therefore, the least common multiple of 4172 and 4180 is 4359740.