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 2179 the smallest integer that is 4732788 that is divisible by both numbers.
Least Common Multiple (LCM) of 2172 and 2179 is 4732788.
LCM(2172,2179) = 4732788
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2179. First we will calculate the prime factors of 2172 and 2179.
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 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 2172 and 2179.
LCM(2172,2179) = 22×31×1811×21791
LCM(2172,2179) = 4732788
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 2179
List of positive integer factors of 2179 that divides 2179 without a remainder.
1, 2179
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2179, than apply into the LCM equation.
GCF(2172,2179) = 1
LCM(2172,2179) = ( 2172 × 2179) / 1
LCM(2172,2179) = 4732788 / 1
LCM(2172,2179) = 4732788
(i) The LCM of 2179 and 2172 is associative
LCM of 2172 and 2179 = LCM of 2179 and 2172
1. What is the LCM of 2172 and 2179?
Answer: LCM of 2172 and 2179 is 4732788.
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 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 2172 and 2179?
Answer:
Least Common Multiple of 2172 and 2179 = 4732788
Step 1: Find the prime factorization of 2172
2172 = 2 x 2 x 3 x 181
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 = 4732788 = 2 x 2 x 3 x 181 x 2179
Step 4: Therefore, the least common multiple of 2172 and 2179 is 4732788.