Least Common Multiple of 4156 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 4156 and 4162 the smallest integer that is 8648636 that is divisible by both numbers.

Least Common Multiple (LCM) of 4156 and 4162 is 8648636.

LCM(4156,4162) = 8648636

LCM of 4156 and 4162

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

LCM of:
and

Least Common Multiple of 4156 and 4162

LCM of 4156 and 4162 is 8648636

Least common multiple can be found by multiplying the highest exponent prime factors of 4156 and 4162. First we will calculate the prime factors of 4156 and 4162.

Prime Factorization of 4156


2 4156
2 2078
1039 1039
1

Prime factors of 4156 are 2,1039. Prime factorization of 4156 in exponential form is:

4156 = 22×10391

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 4156 and 4162.

LCM(4156,4162) = 22×10391×20811
LCM(4156,4162) = 8648636

Factors of 4156

List of positive integer factors of 4156 that divides 4156 without a remainder.

1, 2, 4, 1039, 2078, 4156

Factors of 4162

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

1, 2, 2081, 4162

Least Common Multiple of 4156 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 4156 and 4162, than apply into the LCM equation.

GCF(4156,4162) = 2
LCM(4156,4162) = ( 4156 × 4162) / 2
LCM(4156,4162) = 17297272 / 2
LCM(4156,4162) = 8648636

Properties of LCM 4156 and 4162

(i) The LCM of 4162 and 4156 is associative

LCM of 4156 and 4162 = LCM of 4162 and 4156

Related Least Common Multiples of 4156

Related Least Common Multiples of 4162

Frequently Asked Questions on LCM of 4156 and 4162

1. What is the LCM of 4156 and 4162?

Answer: LCM of 4156 and 4162 is 8648636.

2. What are the Factors of 4156?

Answer: Factors of 4156 are 1, 2, 4, 1039, 2078, 4156. There are 6 integers that are factors of 4156. The greatest factor of 4156 is 4156.

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 4156 and 4162?

Answer:

Least Common Multiple of 4156 and 4162 = 8648636

Step 1: Find the prime factorization of 4156

4156 = 2 x 2 x 1039

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 = 8648636 = 2 x 2 x 1039 x 2081

Step 4: Therefore, the least common multiple of 4156 and 4162 is 8648636.