Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7153 and 7158 the smallest integer that is 51201174 that is divisible by both numbers.
Least Common Multiple (LCM) of 7153 and 7158 is 51201174.
LCM(7153,7158) = 51201174
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 7153 and 7158. First we will calculate the prime factors of 7153 and 7158.
Prime Factorization of 7153
23 | 7153 |
311 | 311 |
1 |
Prime factors of 7153 are 23,311. Prime factorization of 7153 in exponential form is:
7153 = 231×3111
Prime Factorization of 7158
2 | 7158 |
3 | 3579 |
1193 | 1193 |
1 |
Prime factors of 7158 are 2, 3,1193. Prime factorization of 7158 in exponential form is:
7158 = 21×31×11931
Now multiplying the highest exponent prime factors to calculate the LCM of 7153 and 7158.
LCM(7153,7158) = 21×31×231×3111×11931
LCM(7153,7158) = 51201174
Factors of 7153
List of positive integer factors of 7153 that divides 7153 without a remainder.
1, 23, 311, 7153
Factors of 7158
List of positive integer factors of 7158 that divides 7158 without a remainder.
1, 2, 3, 6, 1193, 2386, 3579, 7158
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7153 and 7158, than apply into the LCM equation.
GCF(7153,7158) = 1
LCM(7153,7158) = ( 7153 × 7158) / 1
LCM(7153,7158) = 51201174 / 1
LCM(7153,7158) = 51201174
(i) The LCM of 7158 and 7153 is associative
LCM of 7153 and 7158 = LCM of 7158 and 7153
1. What is the LCM of 7153 and 7158?
Answer: LCM of 7153 and 7158 is 51201174.
2. What are the Factors of 7153?
Answer: Factors of 7153 are 1, 23, 311, 7153. There are 4 integers that are factors of 7153. The greatest factor of 7153 is 7153.
3. What are the Factors of 7158?
Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.
4. How to Find the LCM of 7153 and 7158?
Answer:
Least Common Multiple of 7153 and 7158 = 51201174
Step 1: Find the prime factorization of 7153
7153 = 23 x 311
Step 2: Find the prime factorization of 7158
7158 = 2 x 3 x 1193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51201174 = 2 x 3 x 23 x 311 x 1193
Step 4: Therefore, the least common multiple of 7153 and 7158 is 51201174.