Least Common Multiple of 4188 and 4193

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 4193 the smallest integer that is 17560284 that is divisible by both numbers.

Least Common Multiple (LCM) of 4188 and 4193 is 17560284.

LCM(4188,4193) = 17560284

LCM of 4188 and 4193

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

LCM of:
and

Least Common Multiple of 4188 and 4193

LCM of 4188 and 4193 is 17560284

Least common multiple can be found by multiplying the highest exponent prime factors of 4188 and 4193. First we will calculate the prime factors of 4188 and 4193.

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 4193


7 4193
599 599
1

Prime factors of 4193 are 7,599. Prime factorization of 4193 in exponential form is:

4193 = 71×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 4188 and 4193.

LCM(4188,4193) = 22×31×71×3491×5991
LCM(4188,4193) = 17560284

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 4193

List of positive integer factors of 4193 that divides 4193 without a remainder.

1, 7, 599, 4193

Least Common Multiple of 4188 and 4193 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 4193, than apply into the LCM equation.

GCF(4188,4193) = 1
LCM(4188,4193) = ( 4188 × 4193) / 1
LCM(4188,4193) = 17560284 / 1
LCM(4188,4193) = 17560284

Properties of LCM 4188 and 4193

(i) The LCM of 4193 and 4188 is associative

LCM of 4188 and 4193 = LCM of 4193 and 4188

Related Least Common Multiples of 4188

Related Least Common Multiples of 4193

Frequently Asked Questions on LCM of 4188 and 4193

1. What is the LCM of 4188 and 4193?

Answer: LCM of 4188 and 4193 is 17560284.

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 4193?

Answer: Factors of 4193 are 1, 7, 599, 4193. There are 4 integers that are factors of 4193. The greatest factor of 4193 is 4193.

4. How to Find the LCM of 4188 and 4193?

Answer:

Least Common Multiple of 4188 and 4193 = 17560284

Step 1: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 4193

4193 = 7 x 599

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

LCM = 17560284 = 2 x 2 x 3 x 7 x 349 x 599

Step 4: Therefore, the least common multiple of 4188 and 4193 is 17560284.