Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 620 and 626 the smallest integer that is 194060 that is divisible by both numbers.
Least Common Multiple (LCM) of 620 and 626 is 194060.
LCM(620,626) = 194060
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 620 and 626. First we will calculate the prime factors of 620 and 626.
Prime Factorization of 620
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:
620 = 22×51×311
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 620 and 626.
LCM(620,626) = 22×51×311×3131
LCM(620,626) = 194060
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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 620 and 626, than apply into the LCM equation.
GCF(620,626) = 2
LCM(620,626) = ( 620 × 626) / 2
LCM(620,626) = 388120 / 2
LCM(620,626) = 194060
(i) The LCM of 626 and 620 is associative
LCM of 620 and 626 = LCM of 626 and 620
1. What is the LCM of 620 and 626?
Answer: LCM of 620 and 626 is 194060.
2. What are the Factors of 620?
Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.
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 620 and 626?
Answer:
Least Common Multiple of 620 and 626 = 194060
Step 1: Find the prime factorization of 620
620 = 2 x 2 x 5 x 31
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 = 194060 = 2 x 2 x 5 x 31 x 313
Step 4: Therefore, the least common multiple of 620 and 626 is 194060.