Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7151 and 7156 the smallest integer that is 51172556 that is divisible by both numbers.
Least Common Multiple (LCM) of 7151 and 7156 is 51172556.
LCM(7151,7156) = 51172556
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 7151 and 7156. First we will calculate the prime factors of 7151 and 7156.
Prime Factorization of 7151
7151 | 7151 |
1 |
Prime factors of 7151 are 7151. Prime factorization of 7151 in exponential form is:
7151 = 71511
Prime Factorization of 7156
2 | 7156 |
2 | 3578 |
1789 | 1789 |
1 |
Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:
7156 = 22×17891
Now multiplying the highest exponent prime factors to calculate the LCM of 7151 and 7156.
LCM(7151,7156) = 22×17891×71511
LCM(7151,7156) = 51172556
Factors of 7151
List of positive integer factors of 7151 that divides 7151 without a remainder.
1, 7151
Factors of 7156
List of positive integer factors of 7156 that divides 7156 without a remainder.
1, 2, 4, 1789, 3578, 7156
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7151 and 7156, than apply into the LCM equation.
GCF(7151,7156) = 1
LCM(7151,7156) = ( 7151 × 7156) / 1
LCM(7151,7156) = 51172556 / 1
LCM(7151,7156) = 51172556
(i) The LCM of 7156 and 7151 is associative
LCM of 7151 and 7156 = LCM of 7156 and 7151
1. What is the LCM of 7151 and 7156?
Answer: LCM of 7151 and 7156 is 51172556.
2. What are the Factors of 7151?
Answer: Factors of 7151 are 1, 7151. There are 2 integers that are factors of 7151. The greatest factor of 7151 is 7151.
3. What are the Factors of 7156?
Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.
4. How to Find the LCM of 7151 and 7156?
Answer:
Least Common Multiple of 7151 and 7156 = 51172556
Step 1: Find the prime factorization of 7151
7151 = 7151
Step 2: Find the prime factorization of 7156
7156 = 2 x 2 x 1789
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51172556 = 2 x 2 x 1789 x 7151
Step 4: Therefore, the least common multiple of 7151 and 7156 is 51172556.