Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8179 and 8183 the smallest integer that is 66928757 that is divisible by both numbers.
Least Common Multiple (LCM) of 8179 and 8183 is 66928757.
LCM(8179,8183) = 66928757
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 8179 and 8183. First we will calculate the prime factors of 8179 and 8183.
Prime Factorization of 8179
8179 | 8179 |
1 |
Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:
8179 = 81791
Prime Factorization of 8183
7 | 8183 |
7 | 1169 |
167 | 167 |
1 |
Prime factors of 8183 are 7,167. Prime factorization of 8183 in exponential form is:
8183 = 72×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8179 and 8183.
LCM(8179,8183) = 72×1671×81791
LCM(8179,8183) = 66928757
Factors of 8179
List of positive integer factors of 8179 that divides 8179 without a remainder.
1, 8179
Factors of 8183
List of positive integer factors of 8183 that divides 8183 without a remainder.
1, 7, 49, 167, 1169, 8183
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8179 and 8183, than apply into the LCM equation.
GCF(8179,8183) = 1
LCM(8179,8183) = ( 8179 × 8183) / 1
LCM(8179,8183) = 66928757 / 1
LCM(8179,8183) = 66928757
(i) The LCM of 8183 and 8179 is associative
LCM of 8179 and 8183 = LCM of 8183 and 8179
1. What is the LCM of 8179 and 8183?
Answer: LCM of 8179 and 8183 is 66928757.
2. What are the Factors of 8179?
Answer: Factors of 8179 are 1, 8179. There are 2 integers that are factors of 8179. The greatest factor of 8179 is 8179.
3. What are the Factors of 8183?
Answer: Factors of 8183 are 1, 7, 49, 167, 1169, 8183. There are 6 integers that are factors of 8183. The greatest factor of 8183 is 8183.
4. How to Find the LCM of 8179 and 8183?
Answer:
Least Common Multiple of 8179 and 8183 = 66928757
Step 1: Find the prime factorization of 8179
8179 = 8179
Step 2: Find the prime factorization of 8183
8183 = 7 x 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66928757 = 7 x 7 x 167 x 8179
Step 4: Therefore, the least common multiple of 8179 and 8183 is 66928757.