Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7154 and 7159 the smallest integer that is 51215486 that is divisible by both numbers.
Least Common Multiple (LCM) of 7154 and 7159 is 51215486.
LCM(7154,7159) = 51215486
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 7154 and 7159. First we will calculate the prime factors of 7154 and 7159.
Prime Factorization of 7154
2 | 7154 |
7 | 3577 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 7154 are 2, 7,73. Prime factorization of 7154 in exponential form is:
7154 = 21×72×731
Prime Factorization of 7159
7159 | 7159 |
1 |
Prime factors of 7159 are 7159. Prime factorization of 7159 in exponential form is:
7159 = 71591
Now multiplying the highest exponent prime factors to calculate the LCM of 7154 and 7159.
LCM(7154,7159) = 21×72×731×71591
LCM(7154,7159) = 51215486
Factors of 7154
List of positive integer factors of 7154 that divides 7154 without a remainder.
1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154
Factors of 7159
List of positive integer factors of 7159 that divides 7159 without a remainder.
1, 7159
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7154 and 7159, than apply into the LCM equation.
GCF(7154,7159) = 1
LCM(7154,7159) = ( 7154 × 7159) / 1
LCM(7154,7159) = 51215486 / 1
LCM(7154,7159) = 51215486
(i) The LCM of 7159 and 7154 is associative
LCM of 7154 and 7159 = LCM of 7159 and 7154
1. What is the LCM of 7154 and 7159?
Answer: LCM of 7154 and 7159 is 51215486.
2. What are the Factors of 7154?
Answer: Factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154. There are 12 integers that are factors of 7154. The greatest factor of 7154 is 7154.
3. What are the Factors of 7159?
Answer: Factors of 7159 are 1, 7159. There are 2 integers that are factors of 7159. The greatest factor of 7159 is 7159.
4. How to Find the LCM of 7154 and 7159?
Answer:
Least Common Multiple of 7154 and 7159 = 51215486
Step 1: Find the prime factorization of 7154
7154 = 2 x 7 x 7 x 73
Step 2: Find the prime factorization of 7159
7159 = 7159
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51215486 = 2 x 7 x 7 x 73 x 7159
Step 4: Therefore, the least common multiple of 7154 and 7159 is 51215486.