Least Common Multiple of 4188 and 4189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4188 and 4189 the smallest integer that is 17543532 that is divisible by both numbers.

Least Common Multiple (LCM) of 4188 and 4189 is 17543532.

LCM(4188,4189) = 17543532

LCM of 4188 and 4189

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

LCM of:
and

Least Common Multiple of 4188 and 4189

LCM of 4188 and 4189 is 17543532

Least common multiple can be found by multiplying the highest exponent prime factors of 4188 and 4189. First we will calculate the prime factors of 4188 and 4189.

Prime Factorization of 4188


2 4188
2 2094
3 1047
349 349
1

Prime factors of 4188 are 2, 3,349. Prime factorization of 4188 in exponential form is:

4188 = 22×31×3491

Prime Factorization of 4189


59 4189
71 71
1

Prime factors of 4189 are 59,71. Prime factorization of 4189 in exponential form is:

4189 = 591×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4188 and 4189.

LCM(4188,4189) = 22×31×591×711×3491
LCM(4188,4189) = 17543532

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188

Factors of 4189

List of positive integer factors of 4189 that divides 4189 without a remainder.

1, 59, 71, 4189

Least Common Multiple of 4188 and 4189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4188 and 4189, than apply into the LCM equation.

GCF(4188,4189) = 1
LCM(4188,4189) = ( 4188 × 4189) / 1
LCM(4188,4189) = 17543532 / 1
LCM(4188,4189) = 17543532

Properties of LCM 4188 and 4189

(i) The LCM of 4189 and 4188 is associative

LCM of 4188 and 4189 = LCM of 4189 and 4188

Related Least Common Multiples of 4188

Related Least Common Multiples of 4189

Frequently Asked Questions on LCM of 4188 and 4189

1. What is the LCM of 4188 and 4189?

Answer: LCM of 4188 and 4189 is 17543532.

2. What are the Factors of 4188?

Answer: Factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. There are 12 integers that are factors of 4188. The greatest factor of 4188 is 4188.

3. What are the Factors of 4189?

Answer: Factors of 4189 are 1, 59, 71, 4189. There are 4 integers that are factors of 4189. The greatest factor of 4189 is 4189.

4. How to Find the LCM of 4188 and 4189?

Answer:

Least Common Multiple of 4188 and 4189 = 17543532

Step 1: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 4189

4189 = 59 x 71

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

LCM = 17543532 = 2 x 2 x 3 x 59 x 71 x 349

Step 4: Therefore, the least common multiple of 4188 and 4189 is 17543532.