Least Common Multiple of 4179 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 4179 and 4185 the smallest integer that is 5829705 that is divisible by both numbers.

Least Common Multiple (LCM) of 4179 and 4185 is 5829705.

LCM(4179,4185) = 5829705

LCM of 4179 and 4185

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

LCM of:
and

Least Common Multiple of 4179 and 4185

LCM of 4179 and 4185 is 5829705

Least common multiple can be found by multiplying the highest exponent prime factors of 4179 and 4185. First we will calculate the prime factors of 4179 and 4185.

Prime Factorization of 4179


3 4179
7 1393
199 199
1

Prime factors of 4179 are 3, 7,199. Prime factorization of 4179 in exponential form is:

4179 = 31×71×1991

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 4179 and 4185.

LCM(4179,4185) = 33×51×71×311×1991
LCM(4179,4185) = 5829705

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1, 3, 7, 21, 199, 597, 1393, 4179

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 4179 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 4179 and 4185, than apply into the LCM equation.

GCF(4179,4185) = 3
LCM(4179,4185) = ( 4179 × 4185) / 3
LCM(4179,4185) = 17489115 / 3
LCM(4179,4185) = 5829705

Properties of LCM 4179 and 4185

(i) The LCM of 4185 and 4179 is associative

LCM of 4179 and 4185 = LCM of 4185 and 4179

Related Least Common Multiples of 4179

Related Least Common Multiples of 4185

Frequently Asked Questions on LCM of 4179 and 4185

1. What is the LCM of 4179 and 4185?

Answer: LCM of 4179 and 4185 is 5829705.

2. What are the Factors of 4179?

Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.

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 4179 and 4185?

Answer:

Least Common Multiple of 4179 and 4185 = 5829705

Step 1: Find the prime factorization of 4179

4179 = 3 x 7 x 199

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 = 5829705 = 3 x 3 x 3 x 5 x 7 x 31 x 199

Step 4: Therefore, the least common multiple of 4179 and 4185 is 5829705.