Least Common Multiple of 2172 and 2178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2172 and 2178 the smallest integer that is 788436 that is divisible by both numbers.

Least Common Multiple (LCM) of 2172 and 2178 is 788436.

LCM(2172,2178) = 788436

LCM of 2172 and 2178

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

LCM of:
and

Least Common Multiple of 2172 and 2178

LCM of 2172 and 2178 is 788436

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2178. First we will calculate the prime factors of 2172 and 2178.

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2178.

LCM(2172,2178) = 22×32×112×1811
LCM(2172,2178) = 788436

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

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

Least Common Multiple of 2172 and 2178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2178, than apply into the LCM equation.

GCF(2172,2178) = 6
LCM(2172,2178) = ( 2172 × 2178) / 6
LCM(2172,2178) = 4730616 / 6
LCM(2172,2178) = 788436

Properties of LCM 2172 and 2178

(i) The LCM of 2178 and 2172 is associative

LCM of 2172 and 2178 = LCM of 2178 and 2172

Related Least Common Multiples of 2172

Related Least Common Multiples of 2178

Frequently Asked Questions on LCM of 2172 and 2178

1. What is the LCM of 2172 and 2178?

Answer: LCM of 2172 and 2178 is 788436.

2. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

3. 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.

4. How to Find the LCM of 2172 and 2178?

Answer:

Least Common Multiple of 2172 and 2178 = 788436

Step 1: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 2178

2178 = 2 x 3 x 3 x 11 x 11

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

LCM = 788436 = 2 x 2 x 3 x 3 x 11 x 11 x 181

Step 4: Therefore, the least common multiple of 2172 and 2178 is 788436.