Least Common Multiple of 4150 and 4155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4150 and 4155 the smallest integer that is 3448650 that is divisible by both numbers.

Least Common Multiple (LCM) of 4150 and 4155 is 3448650.

LCM(4150,4155) = 3448650

LCM of 4150 and 4155

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

LCM of:
and

Least Common Multiple of 4150 and 4155

LCM of 4150 and 4155 is 3448650

Least common multiple can be found by multiplying the highest exponent prime factors of 4150 and 4155. First we will calculate the prime factors of 4150 and 4155.

Prime Factorization of 4150


2 4150
5 2075
5 415
83 83
1

Prime factors of 4150 are 2, 5,83. Prime factorization of 4150 in exponential form is:

4150 = 21×52×831

Prime Factorization of 4155


3 4155
5 1385
277 277
1

Prime factors of 4155 are 3, 5,277. Prime factorization of 4155 in exponential form is:

4155 = 31×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4150 and 4155.

LCM(4150,4155) = 21×31×52×831×2771
LCM(4150,4155) = 3448650

Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1, 3, 5, 15, 277, 831, 1385, 4155

Least Common Multiple of 4150 and 4155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4150 and 4155, than apply into the LCM equation.

GCF(4150,4155) = 5
LCM(4150,4155) = ( 4150 × 4155) / 5
LCM(4150,4155) = 17243250 / 5
LCM(4150,4155) = 3448650

Properties of LCM 4150 and 4155

(i) The LCM of 4155 and 4150 is associative

LCM of 4150 and 4155 = LCM of 4155 and 4150

Related Least Common Multiples of 4150

Related Least Common Multiples of 4155

Frequently Asked Questions on LCM of 4150 and 4155

1. What is the LCM of 4150 and 4155?

Answer: LCM of 4150 and 4155 is 3448650.

2. What are the Factors of 4150?

Answer: Factors of 4150 are 1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150. There are 12 integers that are factors of 4150. The greatest factor of 4150 is 4150.

3. What are the Factors of 4155?

Answer: Factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155. There are 8 integers that are factors of 4155. The greatest factor of 4155 is 4155.

4. How to Find the LCM of 4150 and 4155?

Answer:

Least Common Multiple of 4150 and 4155 = 3448650

Step 1: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 4155

4155 = 3 x 5 x 277

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

LCM = 3448650 = 2 x 3 x 5 x 5 x 83 x 277

Step 4: Therefore, the least common multiple of 4150 and 4155 is 3448650.