Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2171 and 2179 the smallest integer that is 4730609 that is divisible by both numbers.
Least Common Multiple (LCM) of 2171 and 2179 is 4730609.
LCM(2171,2179) = 4730609
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 2171 and 2179. First we will calculate the prime factors of 2171 and 2179.
Prime Factorization of 2171
13 | 2171 |
167 | 167 |
1 |
Prime factors of 2171 are 13,167. Prime factorization of 2171 in exponential form is:
2171 = 131×1671
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 2171 and 2179.
LCM(2171,2179) = 131×1671×21791
LCM(2171,2179) = 4730609
Factors of 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1, 13, 167, 2171
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 2171 and 2179, than apply into the LCM equation.
GCF(2171,2179) = 1
LCM(2171,2179) = ( 2171 × 2179) / 1
LCM(2171,2179) = 4730609 / 1
LCM(2171,2179) = 4730609
(i) The LCM of 2179 and 2171 is associative
LCM of 2171 and 2179 = LCM of 2179 and 2171
1. What is the LCM of 2171 and 2179?
Answer: LCM of 2171 and 2179 is 4730609.
2. What are the Factors of 2171?
Answer: Factors of 2171 are 1, 13, 167, 2171. There are 4 integers that are factors of 2171. The greatest factor of 2171 is 2171.
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 2171 and 2179?
Answer:
Least Common Multiple of 2171 and 2179 = 4730609
Step 1: Find the prime factorization of 2171
2171 = 13 x 167
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 = 4730609 = 13 x 167 x 2179
Step 4: Therefore, the least common multiple of 2171 and 2179 is 4730609.