Least Common Multiple of 4160 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 4160 and 4164 the smallest integer that is 4330560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4160 and 4164 is 4330560.

LCM(4160,4164) = 4330560

LCM of 4160 and 4164

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

LCM of:
and

Least Common Multiple of 4160 and 4164

LCM of 4160 and 4164 is 4330560

Least common multiple can be found by multiplying the highest exponent prime factors of 4160 and 4164. First we will calculate the prime factors of 4160 and 4164.

Prime Factorization of 4160


2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 4160 are 2, 5,13. Prime factorization of 4160 in exponential form is:

4160 = 26×51×131

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 4160 and 4164.

LCM(4160,4164) = 26×31×51×131×3471
LCM(4160,4164) = 4330560

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160

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 4160 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 4160 and 4164, than apply into the LCM equation.

GCF(4160,4164) = 4
LCM(4160,4164) = ( 4160 × 4164) / 4
LCM(4160,4164) = 17322240 / 4
LCM(4160,4164) = 4330560

Properties of LCM 4160 and 4164

(i) The LCM of 4164 and 4160 is associative

LCM of 4160 and 4164 = LCM of 4164 and 4160

Related Least Common Multiples of 4160

Related Least Common Multiples of 4164

Frequently Asked Questions on LCM of 4160 and 4164

1. What is the LCM of 4160 and 4164?

Answer: LCM of 4160 and 4164 is 4330560.

2. What are the Factors of 4160?

Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.

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 4160 and 4164?

Answer:

Least Common Multiple of 4160 and 4164 = 4330560

Step 1: Find the prime factorization of 4160

4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

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 = 4330560 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 347

Step 4: Therefore, the least common multiple of 4160 and 4164 is 4330560.