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