Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 622 and 626 the smallest integer that is 194686 that is divisible by both numbers.
Least Common Multiple (LCM) of 622 and 626 is 194686.
LCM(622,626) = 194686
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 622 and 626. First we will calculate the prime factors of 622 and 626.
Prime Factorization of 622
2 | 622 |
311 | 311 |
1 |
Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:
622 = 21×3111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 626.
LCM(622,626) = 21×3111×3131
LCM(622,626) = 194686
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1, 2, 313, 626
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 626, than apply into the LCM equation.
GCF(622,626) = 2
LCM(622,626) = ( 622 × 626) / 2
LCM(622,626) = 389372 / 2
LCM(622,626) = 194686
(i) The LCM of 626 and 622 is associative
LCM of 622 and 626 = LCM of 626 and 622
1. What is the LCM of 622 and 626?
Answer: LCM of 622 and 626 is 194686.
2. What are the Factors of 622?
Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.
3. 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.
4. How to Find the LCM of 622 and 626?
Answer:
Least Common Multiple of 622 and 626 = 194686
Step 1: Find the prime factorization of 622
622 = 2 x 311
Step 2: Find the prime factorization of 626
626 = 2 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 194686 = 2 x 311 x 313
Step 4: Therefore, the least common multiple of 622 and 626 is 194686.