Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7 and 25 the smallest integer that is 175 that is divisible by both numbers.
Least Common Multiple (LCM) of 7 and 25 is 175.
LCM(7,25) = 175
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 7 and 25. First we will calculate the prime factors of 7 and 25.
Prime Factorization of 7
7 | 7 |
1 |
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Prime Factorization of 25
5 | 25 |
5 | 5 |
1 |
Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:
25 = 52
Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 25.
LCM(7,25) = 52×71
LCM(7,25) = 175
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1, 7
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1, 5, 25
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 25, than apply into the LCM equation.
GCF(7,25) = 1
LCM(7,25) = ( 7 × 25) / 1
LCM(7,25) = 175 / 1
LCM(7,25) = 175
(i) The LCM of 25 and 7 is associative
LCM of 7 and 25 = LCM of 25 and 7
1. What is the LCM of 7 and 25?
Answer: LCM of 7 and 25 is 175.
2. 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.
3. What are the Factors of 25?
Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.
4. How to Find the LCM of 7 and 25?
Answer:
Least Common Multiple of 7 and 25 = 175
Step 1: Find the prime factorization of 7
7 = 7
Step 2: Find the prime factorization of 25
25 = 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 175 = 5 x 5 x 7
Step 4: Therefore, the least common multiple of 7 and 25 is 175.