Least Common Multiple of 3184 and 3185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3184 and 3185 the smallest integer that is 10141040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3184 and 3185 is 10141040.

LCM(3184,3185) = 10141040

LCM of 3184 and 3185

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

LCM of:
and

Least Common Multiple of 3184 and 3185

LCM of 3184 and 3185 is 10141040

Least common multiple can be found by multiplying the highest exponent prime factors of 3184 and 3185. First we will calculate the prime factors of 3184 and 3185.

Prime Factorization of 3184


2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 3184 are 2,199. Prime factorization of 3184 in exponential form is:

3184 = 24×1991

Prime Factorization of 3185


5 3185
7 637
7 91
13 13
1

Prime factors of 3185 are 5, 7,13. Prime factorization of 3185 in exponential form is:

3185 = 51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3184 and 3185.

LCM(3184,3185) = 24×51×72×131×1991
LCM(3184,3185) = 10141040

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184

Factors of 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185

Least Common Multiple of 3184 and 3185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3184 and 3185, than apply into the LCM equation.

GCF(3184,3185) = 1
LCM(3184,3185) = ( 3184 × 3185) / 1
LCM(3184,3185) = 10141040 / 1
LCM(3184,3185) = 10141040

Properties of LCM 3184 and 3185

(i) The LCM of 3185 and 3184 is associative

LCM of 3184 and 3185 = LCM of 3185 and 3184

Related Least Common Multiples of 3184

Related Least Common Multiples of 3185

Frequently Asked Questions on LCM of 3184 and 3185

1. What is the LCM of 3184 and 3185?

Answer: LCM of 3184 and 3185 is 10141040.

2. What are the Factors of 3184?

Answer: Factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. There are 10 integers that are factors of 3184. The greatest factor of 3184 is 3184.

3. What are the Factors of 3185?

Answer: Factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185. There are 12 integers that are factors of 3185. The greatest factor of 3185 is 3185.

4. How to Find the LCM of 3184 and 3185?

Answer:

Least Common Multiple of 3184 and 3185 = 10141040

Step 1: Find the prime factorization of 3184

3184 = 2 x 2 x 2 x 2 x 199

Step 2: Find the prime factorization of 3185

3185 = 5 x 7 x 7 x 13

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

LCM = 10141040 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13 x 199

Step 4: Therefore, the least common multiple of 3184 and 3185 is 10141040.