Least Common Multiple of 4150 and 4151

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 4151 the smallest integer that is 17226650 that is divisible by both numbers.

Least Common Multiple (LCM) of 4150 and 4151 is 17226650.

LCM(4150,4151) = 17226650

LCM of 4150 and 4151

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

LCM of:
and

Least Common Multiple of 4150 and 4151

LCM of 4150 and 4151 is 17226650

Least common multiple can be found by multiplying the highest exponent prime factors of 4150 and 4151. First we will calculate the prime factors of 4150 and 4151.

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 4151


7 4151
593 593
1

Prime factors of 4151 are 7,593. Prime factorization of 4151 in exponential form is:

4151 = 71×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 4150 and 4151.

LCM(4150,4151) = 21×52×71×831×5931
LCM(4150,4151) = 17226650

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 4151

List of positive integer factors of 4151 that divides 4151 without a remainder.

1, 7, 593, 4151

Least Common Multiple of 4150 and 4151 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 4151, than apply into the LCM equation.

GCF(4150,4151) = 1
LCM(4150,4151) = ( 4150 × 4151) / 1
LCM(4150,4151) = 17226650 / 1
LCM(4150,4151) = 17226650

Properties of LCM 4150 and 4151

(i) The LCM of 4151 and 4150 is associative

LCM of 4150 and 4151 = LCM of 4151 and 4150

Related Least Common Multiples of 4150

Related Least Common Multiples of 4151

Frequently Asked Questions on LCM of 4150 and 4151

1. What is the LCM of 4150 and 4151?

Answer: LCM of 4150 and 4151 is 17226650.

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 4151?

Answer: Factors of 4151 are 1, 7, 593, 4151. There are 4 integers that are factors of 4151. The greatest factor of 4151 is 4151.

4. How to Find the LCM of 4150 and 4151?

Answer:

Least Common Multiple of 4150 and 4151 = 17226650

Step 1: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 4151

4151 = 7 x 593

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

LCM = 17226650 = 2 x 5 x 5 x 7 x 83 x 593

Step 4: Therefore, the least common multiple of 4150 and 4151 is 17226650.