Least Common Multiple of 2170 and 2177
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2170 and 2177 the smallest integer that is 674870 that is divisible by both numbers.
Least Common Multiple (LCM) of 2170 and 2177 is 674870.
LCM(2170,2177) = 674870
LCM of 2170 and 2177
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2170 and 2177 by Prime method
- Least Common Multiple of 2170 and 2177 with GCF Formula
LCM of 2170 and 2177 is 674870
Least common multiple can be found by multiplying the highest exponent prime factors of 2170 and 2177. First we will calculate the prime factors of 2170 and 2177.
Prime Factorization of 2170
| 2 | 2170 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:
2170 = 21×51×71×311
Prime Factorization of 2177
| 7 | 2177 |
| 311 | 311 |
| 1 |
Prime factors of 2177 are 7,311. Prime factorization of 2177 in exponential form is:
2177 = 71×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 2170 and 2177.
LCM(2170,2177) = 21×51×71×311×3111
LCM(2170,2177) = 674870
Factors of 2170
List of positive integer factors of 2170 that divides 2170 without a remainder.
1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
Factors of 2177
List of positive integer factors of 2177 that divides 2177 without a remainder.
1, 7, 311, 2177
Least Common Multiple of 2170 and 2177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2170 and 2177, than apply into the LCM equation.
GCF(2170,2177) = 7
LCM(2170,2177) = ( 2170 × 2177) / 7
LCM(2170,2177) = 4724090 / 7
LCM(2170,2177) = 674870
Properties of LCM 2170 and 2177
(i) The LCM of 2177 and 2170 is associative
LCM of 2170 and 2177 = LCM of 2177 and 2170
Related Least Common Multiples of 2170
Related Least Common Multiples of 2177
Frequently Asked Questions on LCM of 2170 and 2177
1. What is the LCM of 2170 and 2177?
Answer: LCM of 2170 and 2177 is 674870.
2. What are the Factors of 2170?
Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.
3. What are the Factors of 2177?
Answer: Factors of 2177 are 1, 7, 311, 2177. There are 4 integers that are factors of 2177. The greatest factor of 2177 is 2177.
4. How to Find the LCM of 2170 and 2177?
Answer:
Least Common Multiple of 2170 and 2177 = 674870
Step 1: Find the prime factorization of 2170
2170 = 2 x 5 x 7 x 31
Step 2: Find the prime factorization of 2177
2177 = 7 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 674870 = 2 x 5 x 7 x 31 x 311
Step 4: Therefore, the least common multiple of 2170 and 2177 is 674870.