Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 625 and 632 the smallest integer that is 395000 that is divisible by both numbers.
Least Common Multiple (LCM) of 625 and 632 is 395000.
LCM(625,632) = 395000
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 625 and 632. First we will calculate the prime factors of 625 and 632.
Prime Factorization of 625
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:
625 = 54
Prime Factorization of 632
2 | 632 |
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:
632 = 23×791
Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 632.
LCM(625,632) = 23×54×791
LCM(625,632) = 395000
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 632, than apply into the LCM equation.
GCF(625,632) = 1
LCM(625,632) = ( 625 × 632) / 1
LCM(625,632) = 395000 / 1
LCM(625,632) = 395000
(i) The LCM of 632 and 625 is associative
LCM of 625 and 632 = LCM of 632 and 625
1. What is the LCM of 625 and 632?
Answer: LCM of 625 and 632 is 395000.
2. What are the Factors of 625?
Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.
3. What are the Factors of 632?
Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.
4. How to Find the LCM of 625 and 632?
Answer:
Least Common Multiple of 625 and 632 = 395000
Step 1: Find the prime factorization of 625
625 = 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 632
632 = 2 x 2 x 2 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 395000 = 2 x 2 x 2 x 5 x 5 x 5 x 5 x 79
Step 4: Therefore, the least common multiple of 625 and 632 is 395000.