Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 628 and 631 the smallest integer that is 396268 that is divisible by both numbers.
Least Common Multiple (LCM) of 628 and 631 is 396268.
LCM(628,631) = 396268
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 628 and 631. First we will calculate the prime factors of 628 and 631.
Prime Factorization of 628
2 | 628 |
2 | 314 |
157 | 157 |
1 |
Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:
628 = 22×1571
Prime Factorization of 631
631 | 631 |
1 |
Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:
631 = 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 628 and 631.
LCM(628,631) = 22×1571×6311
LCM(628,631) = 396268
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1, 631
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 628 and 631, than apply into the LCM equation.
GCF(628,631) = 1
LCM(628,631) = ( 628 × 631) / 1
LCM(628,631) = 396268 / 1
LCM(628,631) = 396268
(i) The LCM of 631 and 628 is associative
LCM of 628 and 631 = LCM of 631 and 628
1. What is the LCM of 628 and 631?
Answer: LCM of 628 and 631 is 396268.
2. What are the Factors of 628?
Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.
3. What are the Factors of 631?
Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.
4. How to Find the LCM of 628 and 631?
Answer:
Least Common Multiple of 628 and 631 = 396268
Step 1: Find the prime factorization of 628
628 = 2 x 2 x 157
Step 2: Find the prime factorization of 631
631 = 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 396268 = 2 x 2 x 157 x 631
Step 4: Therefore, the least common multiple of 628 and 631 is 396268.