Least Common Multiple of 4148 and 4153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4148 and 4153 the smallest integer that is 17226644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4148 and 4153 is 17226644.

LCM(4148,4153) = 17226644

LCM of 4148 and 4153

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

LCM of:
and

Least Common Multiple of 4148 and 4153

LCM of 4148 and 4153 is 17226644

Least common multiple can be found by multiplying the highest exponent prime factors of 4148 and 4153. First we will calculate the prime factors of 4148 and 4153.

Prime Factorization of 4148


2 4148
2 2074
17 1037
61 61
1

Prime factors of 4148 are 2, 17,61. Prime factorization of 4148 in exponential form is:

4148 = 22×171×611

Prime Factorization of 4153


4153 4153
1

Prime factors of 4153 are 4153. Prime factorization of 4153 in exponential form is:

4153 = 41531

Now multiplying the highest exponent prime factors to calculate the LCM of 4148 and 4153.

LCM(4148,4153) = 22×171×611×41531
LCM(4148,4153) = 17226644

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148

Factors of 4153

List of positive integer factors of 4153 that divides 4153 without a remainder.

1, 4153

Least Common Multiple of 4148 and 4153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4148 and 4153, than apply into the LCM equation.

GCF(4148,4153) = 1
LCM(4148,4153) = ( 4148 × 4153) / 1
LCM(4148,4153) = 17226644 / 1
LCM(4148,4153) = 17226644

Properties of LCM 4148 and 4153

(i) The LCM of 4153 and 4148 is associative

LCM of 4148 and 4153 = LCM of 4153 and 4148

Related Least Common Multiples of 4148

Related Least Common Multiples of 4153

Frequently Asked Questions on LCM of 4148 and 4153

1. What is the LCM of 4148 and 4153?

Answer: LCM of 4148 and 4153 is 17226644.

2. What are the Factors of 4148?

Answer: Factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148. There are 12 integers that are factors of 4148. The greatest factor of 4148 is 4148.

3. What are the Factors of 4153?

Answer: Factors of 4153 are 1, 4153. There are 2 integers that are factors of 4153. The greatest factor of 4153 is 4153.

4. How to Find the LCM of 4148 and 4153?

Answer:

Least Common Multiple of 4148 and 4153 = 17226644

Step 1: Find the prime factorization of 4148

4148 = 2 x 2 x 17 x 61

Step 2: Find the prime factorization of 4153

4153 = 4153

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

LCM = 17226644 = 2 x 2 x 17 x 61 x 4153

Step 4: Therefore, the least common multiple of 4148 and 4153 is 17226644.