Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 626 and 633 the smallest integer that is 396258 that is divisible by both numbers.
Least Common Multiple (LCM) of 626 and 633 is 396258.
LCM(626,633) = 396258
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 626 and 633. First we will calculate the prime factors of 626 and 633.
Prime Factorization of 626
2 | 626 |
313 | 313 |
1 |
Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:
626 = 21×3131
Prime Factorization of 633
3 | 633 |
211 | 211 |
1 |
Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:
633 = 31×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 633.
LCM(626,633) = 21×31×2111×3131
LCM(626,633) = 396258
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1, 3, 211, 633
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 626 and 633, than apply into the LCM equation.
GCF(626,633) = 1
LCM(626,633) = ( 626 × 633) / 1
LCM(626,633) = 396258 / 1
LCM(626,633) = 396258
(i) The LCM of 633 and 626 is associative
LCM of 626 and 633 = LCM of 633 and 626
1. What is the LCM of 626 and 633?
Answer: LCM of 626 and 633 is 396258.
2. What are the Factors of 626?
Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.
3. What are the Factors of 633?
Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.
4. How to Find the LCM of 626 and 633?
Answer:
Least Common Multiple of 626 and 633 = 396258
Step 1: Find the prime factorization of 626
626 = 2 x 313
Step 2: Find the prime factorization of 633
633 = 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 396258 = 2 x 3 x 211 x 313
Step 4: Therefore, the least common multiple of 626 and 633 is 396258.