Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 632 and 635 the smallest integer that is 401320 that is divisible by both numbers.
Least Common Multiple (LCM) of 632 and 635 is 401320.
LCM(632,635) = 401320
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 632 and 635. First we will calculate the prime factors of 632 and 635.
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
Prime Factorization of 635
5 | 635 |
127 | 127 |
1 |
Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:
635 = 51×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 635.
LCM(632,635) = 23×51×791×1271
LCM(632,635) = 401320
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1, 5, 127, 635
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 632 and 635, than apply into the LCM equation.
GCF(632,635) = 1
LCM(632,635) = ( 632 × 635) / 1
LCM(632,635) = 401320 / 1
LCM(632,635) = 401320
(i) The LCM of 635 and 632 is associative
LCM of 632 and 635 = LCM of 635 and 632
1. What is the LCM of 632 and 635?
Answer: LCM of 632 and 635 is 401320.
2. 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.
3. What are the Factors of 635?
Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.
4. How to Find the LCM of 632 and 635?
Answer:
Least Common Multiple of 632 and 635 = 401320
Step 1: Find the prime factorization of 632
632 = 2 x 2 x 2 x 79
Step 2: Find the prime factorization of 635
635 = 5 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 401320 = 2 x 2 x 2 x 5 x 79 x 127
Step 4: Therefore, the least common multiple of 632 and 635 is 401320.