Least Common Multiple of 2178 and 2179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2178 and 2179 the smallest integer that is 4745862 that is divisible by both numbers.

Least Common Multiple (LCM) of 2178 and 2179 is 4745862.

LCM(2178,2179) = 4745862

LCM of 2178 and 2179

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

LCM of:
and

Least Common Multiple of 2178 and 2179

LCM of 2178 and 2179 is 4745862

Least common multiple can be found by multiplying the highest exponent prime factors of 2178 and 2179. First we will calculate the prime factors of 2178 and 2179.

Prime Factorization of 2178


2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 2178 are 2, 3,11. Prime factorization of 2178 in exponential form is:

2178 = 21×32×112

Prime Factorization of 2179


2179 2179
1

Prime factors of 2179 are 2179. Prime factorization of 2179 in exponential form is:

2179 = 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 2178 and 2179.

LCM(2178,2179) = 21×32×112×21791
LCM(2178,2179) = 4745862

Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1, 2179

Least Common Multiple of 2178 and 2179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2178 and 2179, than apply into the LCM equation.

GCF(2178,2179) = 1
LCM(2178,2179) = ( 2178 × 2179) / 1
LCM(2178,2179) = 4745862 / 1
LCM(2178,2179) = 4745862

Properties of LCM 2178 and 2179

(i) The LCM of 2179 and 2178 is associative

LCM of 2178 and 2179 = LCM of 2179 and 2178

Related Least Common Multiples of 2178

Related Least Common Multiples of 2179

Frequently Asked Questions on LCM of 2178 and 2179

1. What is the LCM of 2178 and 2179?

Answer: LCM of 2178 and 2179 is 4745862.

2. What are the Factors of 2178?

Answer: Factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178. There are 18 integers that are factors of 2178. The greatest factor of 2178 is 2178.

3. What are the Factors of 2179?

Answer: Factors of 2179 are 1, 2179. There are 2 integers that are factors of 2179. The greatest factor of 2179 is 2179.

4. How to Find the LCM of 2178 and 2179?

Answer:

Least Common Multiple of 2178 and 2179 = 4745862

Step 1: Find the prime factorization of 2178

2178 = 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 2179

2179 = 2179

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

LCM = 4745862 = 2 x 3 x 3 x 11 x 11 x 2179

Step 4: Therefore, the least common multiple of 2178 and 2179 is 4745862.