Least Common Multiple of 4183 and 4185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4183 and 4185 the smallest integer that is 17505855 that is divisible by both numbers.

Least Common Multiple (LCM) of 4183 and 4185 is 17505855.

LCM(4183,4185) = 17505855

LCM of 4183 and 4185

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

LCM of:
and

Least Common Multiple of 4183 and 4185

LCM of 4183 and 4185 is 17505855

Least common multiple can be found by multiplying the highest exponent prime factors of 4183 and 4185. First we will calculate the prime factors of 4183 and 4185.

Prime Factorization of 4183


47 4183
89 89
1

Prime factors of 4183 are 47,89. Prime factorization of 4183 in exponential form is:

4183 = 471×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4183 and 4185.

LCM(4183,4185) = 33×51×311×471×891
LCM(4183,4185) = 17505855

Factors of 4183

List of positive integer factors of 4183 that divides 4183 without a remainder.

1, 47, 89, 4183

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

Least Common Multiple of 4183 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4183 and 4185, than apply into the LCM equation.

GCF(4183,4185) = 1
LCM(4183,4185) = ( 4183 × 4185) / 1
LCM(4183,4185) = 17505855 / 1
LCM(4183,4185) = 17505855

Properties of LCM 4183 and 4185

(i) The LCM of 4185 and 4183 is associative

LCM of 4183 and 4185 = LCM of 4185 and 4183

Related Least Common Multiples of 4183

Related Least Common Multiples of 4185

Frequently Asked Questions on LCM of 4183 and 4185

1. What is the LCM of 4183 and 4185?

Answer: LCM of 4183 and 4185 is 17505855.

2. What are the Factors of 4183?

Answer: Factors of 4183 are 1, 47, 89, 4183. There are 4 integers that are factors of 4183. The greatest factor of 4183 is 4183.

3. 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.

4. How to Find the LCM of 4183 and 4185?

Answer:

Least Common Multiple of 4183 and 4185 = 17505855

Step 1: Find the prime factorization of 4183

4183 = 47 x 89

Step 2: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

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

LCM = 17505855 = 3 x 3 x 3 x 5 x 31 x 47 x 89

Step 4: Therefore, the least common multiple of 4183 and 4185 is 17505855.