Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4622 and 4627 the smallest integer that is 21385994 that is divisible by both numbers.
Least Common Multiple (LCM) of 4622 and 4627 is 21385994.
LCM(4622,4627) = 21385994
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 4622 and 4627. First we will calculate the prime factors of 4622 and 4627.
Prime Factorization of 4622
2 | 4622 |
2311 | 2311 |
1 |
Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:
4622 = 21×23111
Prime Factorization of 4627
7 | 4627 |
661 | 661 |
1 |
Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:
4627 = 71×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 4622 and 4627.
LCM(4622,4627) = 21×71×6611×23111
LCM(4622,4627) = 21385994
Factors of 4622
List of positive integer factors of 4622 that divides 4622 without a remainder.
1, 2, 2311, 4622
Factors of 4627
List of positive integer factors of 4627 that divides 4627 without a remainder.
1, 7, 661, 4627
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4622 and 4627, than apply into the LCM equation.
GCF(4622,4627) = 1
LCM(4622,4627) = ( 4622 × 4627) / 1
LCM(4622,4627) = 21385994 / 1
LCM(4622,4627) = 21385994
(i) The LCM of 4627 and 4622 is associative
LCM of 4622 and 4627 = LCM of 4627 and 4622
1. What is the LCM of 4622 and 4627?
Answer: LCM of 4622 and 4627 is 21385994.
2. What are the Factors of 4622?
Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.
3. What are the Factors of 4627?
Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.
4. How to Find the LCM of 4622 and 4627?
Answer:
Least Common Multiple of 4622 and 4627 = 21385994
Step 1: Find the prime factorization of 4622
4622 = 2 x 2311
Step 2: Find the prime factorization of 4627
4627 = 7 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21385994 = 2 x 7 x 661 x 2311
Step 4: Therefore, the least common multiple of 4622 and 4627 is 21385994.