Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7621 and 7622 the smallest integer that is 58087262 that is divisible by both numbers.
Least Common Multiple (LCM) of 7621 and 7622 is 58087262.
LCM(7621,7622) = 58087262
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 7621 and 7622. First we will calculate the prime factors of 7621 and 7622.
Prime Factorization of 7621
7621 | 7621 |
1 |
Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:
7621 = 76211
Prime Factorization of 7622
2 | 7622 |
37 | 3811 |
103 | 103 |
1 |
Prime factors of 7622 are 2, 37,103. Prime factorization of 7622 in exponential form is:
7622 = 21×371×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7622.
LCM(7621,7622) = 21×371×1031×76211
LCM(7621,7622) = 58087262
Factors of 7621
List of positive integer factors of 7621 that divides 7621 without a remainder.
1, 7621
Factors of 7622
List of positive integer factors of 7622 that divides 7622 without a remainder.
1, 2, 37, 74, 103, 206, 3811, 7622
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7622, than apply into the LCM equation.
GCF(7621,7622) = 1
LCM(7621,7622) = ( 7621 × 7622) / 1
LCM(7621,7622) = 58087262 / 1
LCM(7621,7622) = 58087262
(i) The LCM of 7622 and 7621 is associative
LCM of 7621 and 7622 = LCM of 7622 and 7621
1. What is the LCM of 7621 and 7622?
Answer: LCM of 7621 and 7622 is 58087262.
2. What are the Factors of 7621?
Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.
3. What are the Factors of 7622?
Answer: Factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622. There are 8 integers that are factors of 7622. The greatest factor of 7622 is 7622.
4. How to Find the LCM of 7621 and 7622?
Answer:
Least Common Multiple of 7621 and 7622 = 58087262
Step 1: Find the prime factorization of 7621
7621 = 7621
Step 2: Find the prime factorization of 7622
7622 = 2 x 37 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58087262 = 2 x 37 x 103 x 7621
Step 4: Therefore, the least common multiple of 7621 and 7622 is 58087262.