Least Common Multiple of 4156 and 4164

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 4164 the smallest integer that is 4326396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4156 and 4164 is 4326396.

LCM(4156,4164) = 4326396

LCM of 4156 and 4164

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

LCM of:
and

Least Common Multiple of 4156 and 4164

LCM of 4156 and 4164 is 4326396

Least common multiple can be found by multiplying the highest exponent prime factors of 4156 and 4164. First we will calculate the prime factors of 4156 and 4164.

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 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2, 3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 4156 and 4164.

LCM(4156,4164) = 22×31×3471×10391
LCM(4156,4164) = 4326396

Factors of 4156

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

1, 2, 4, 1039, 2078, 4156

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164

Least Common Multiple of 4156 and 4164 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 4164, than apply into the LCM equation.

GCF(4156,4164) = 4
LCM(4156,4164) = ( 4156 × 4164) / 4
LCM(4156,4164) = 17305584 / 4
LCM(4156,4164) = 4326396

Properties of LCM 4156 and 4164

(i) The LCM of 4164 and 4156 is associative

LCM of 4156 and 4164 = LCM of 4164 and 4156

Related Least Common Multiples of 4156

Related Least Common Multiples of 4164

Frequently Asked Questions on LCM of 4156 and 4164

1. What is the LCM of 4156 and 4164?

Answer: LCM of 4156 and 4164 is 4326396.

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 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

4. How to Find the LCM of 4156 and 4164?

Answer:

Least Common Multiple of 4156 and 4164 = 4326396

Step 1: Find the prime factorization of 4156

4156 = 2 x 2 x 1039

Step 2: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

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

LCM = 4326396 = 2 x 2 x 3 x 347 x 1039

Step 4: Therefore, the least common multiple of 4156 and 4164 is 4326396.