Least Common Multiple of 4185 and 4188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4185 and 4188 the smallest integer that is 5842260 that is divisible by both numbers.

Least Common Multiple (LCM) of 4185 and 4188 is 5842260.

LCM(4185,4188) = 5842260

LCM of 4185 and 4188

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

LCM of:
and

Least Common Multiple of 4185 and 4188

LCM of 4185 and 4188 is 5842260

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4188. First we will calculate the prime factors of 4185 and 4188.

Prime Factorization of 4185


3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 4185 are 3, 5,31. Prime factorization of 4185 in exponential form is:

4185 = 33×51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4188.

LCM(4185,4188) = 22×33×51×311×3491
LCM(4185,4188) = 5842260

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185

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

Least Common Multiple of 4185 and 4188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4185 and 4188, than apply into the LCM equation.

GCF(4185,4188) = 3
LCM(4185,4188) = ( 4185 × 4188) / 3
LCM(4185,4188) = 17526780 / 3
LCM(4185,4188) = 5842260

Properties of LCM 4185 and 4188

(i) The LCM of 4188 and 4185 is associative

LCM of 4185 and 4188 = LCM of 4188 and 4185

Related Least Common Multiples of 4185

Related Least Common Multiples of 4188

Frequently Asked Questions on LCM of 4185 and 4188

1. What is the LCM of 4185 and 4188?

Answer: LCM of 4185 and 4188 is 5842260.

2. What are the Factors of 4185?

Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.

3. 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.

4. How to Find the LCM of 4185 and 4188?

Answer:

Least Common Multiple of 4185 and 4188 = 5842260

Step 1: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

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

LCM = 5842260 = 2 x 2 x 3 x 3 x 3 x 5 x 31 x 349

Step 4: Therefore, the least common multiple of 4185 and 4188 is 5842260.