Least Common Multiple of 4154 and 4162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4154 and 4162 the smallest integer that is 8644474 that is divisible by both numbers.

Least Common Multiple (LCM) of 4154 and 4162 is 8644474.

LCM(4154,4162) = 8644474

LCM of 4154 and 4162

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

LCM of:
and

Least Common Multiple of 4154 and 4162

LCM of 4154 and 4162 is 8644474

Least common multiple can be found by multiplying the highest exponent prime factors of 4154 and 4162. First we will calculate the prime factors of 4154 and 4162.

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

Prime Factorization of 4162


2 4162
2081 2081
1

Prime factors of 4162 are 2,2081. Prime factorization of 4162 in exponential form is:

4162 = 21×20811

Now multiplying the highest exponent prime factors to calculate the LCM of 4154 and 4162.

LCM(4154,4162) = 21×311×671×20811
LCM(4154,4162) = 8644474

Factors of 4154

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

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

Factors of 4162

List of positive integer factors of 4162 that divides 4162 without a remainder.

1, 2, 2081, 4162

Least Common Multiple of 4154 and 4162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4154 and 4162, than apply into the LCM equation.

GCF(4154,4162) = 2
LCM(4154,4162) = ( 4154 × 4162) / 2
LCM(4154,4162) = 17288948 / 2
LCM(4154,4162) = 8644474

Properties of LCM 4154 and 4162

(i) The LCM of 4162 and 4154 is associative

LCM of 4154 and 4162 = LCM of 4162 and 4154

Related Least Common Multiples of 4154

Related Least Common Multiples of 4162

Frequently Asked Questions on LCM of 4154 and 4162

1. What is the LCM of 4154 and 4162?

Answer: LCM of 4154 and 4162 is 8644474.

2. 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.

3. What are the Factors of 4162?

Answer: Factors of 4162 are 1, 2, 2081, 4162. There are 4 integers that are factors of 4162. The greatest factor of 4162 is 4162.

4. How to Find the LCM of 4154 and 4162?

Answer:

Least Common Multiple of 4154 and 4162 = 8644474

Step 1: Find the prime factorization of 4154

4154 = 2 x 31 x 67

Step 2: Find the prime factorization of 4162

4162 = 2 x 2081

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

LCM = 8644474 = 2 x 31 x 67 x 2081

Step 4: Therefore, the least common multiple of 4154 and 4162 is 8644474.