Least Common Multiple of 4150 and 4154

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 4154 the smallest integer that is 8619550 that is divisible by both numbers.

Least Common Multiple (LCM) of 4150 and 4154 is 8619550.

LCM(4150,4154) = 8619550

LCM of 4150 and 4154

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

LCM of:
and

Least Common Multiple of 4150 and 4154

LCM of 4150 and 4154 is 8619550

Least common multiple can be found by multiplying the highest exponent prime factors of 4150 and 4154. First we will calculate the prime factors of 4150 and 4154.

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 4154


2 4154
31 2077
67 67
1

Prime factors of 4154 are 2, 31,67. Prime factorization of 4154 in exponential form is:

4154 = 21×311×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4150 and 4154.

LCM(4150,4154) = 21×52×311×671×831
LCM(4150,4154) = 8619550

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 4154

List of positive integer factors of 4154 that divides 4154 without a remainder.

1, 2, 31, 62, 67, 134, 2077, 4154

Least Common Multiple of 4150 and 4154 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 4154, than apply into the LCM equation.

GCF(4150,4154) = 2
LCM(4150,4154) = ( 4150 × 4154) / 2
LCM(4150,4154) = 17239100 / 2
LCM(4150,4154) = 8619550

Properties of LCM 4150 and 4154

(i) The LCM of 4154 and 4150 is associative

LCM of 4150 and 4154 = LCM of 4154 and 4150

Related Least Common Multiples of 4150

Related Least Common Multiples of 4154

Frequently Asked Questions on LCM of 4150 and 4154

1. What is the LCM of 4150 and 4154?

Answer: LCM of 4150 and 4154 is 8619550.

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 4154?

Answer: Factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154. There are 8 integers that are factors of 4154. The greatest factor of 4154 is 4154.

4. How to Find the LCM of 4150 and 4154?

Answer:

Least Common Multiple of 4150 and 4154 = 8619550

Step 1: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 4154

4154 = 2 x 31 x 67

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

LCM = 8619550 = 2 x 5 x 5 x 31 x 67 x 83

Step 4: Therefore, the least common multiple of 4150 and 4154 is 8619550.