Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 618 and 622 the smallest integer that is 192198 that is divisible by both numbers.
Least Common Multiple (LCM) of 618 and 622 is 192198.
LCM(618,622) = 192198
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 618 and 622. First we will calculate the prime factors of 618 and 622.
Prime Factorization of 618
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 618 are 2, 3,103. Prime factorization of 618 in exponential form is:
618 = 21×31×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 622.
LCM(618,622) = 21×31×1031×3111
LCM(618,622) = 192198
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1, 2, 311, 622
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 618 and 622, than apply into the LCM equation.
GCF(618,622) = 2
LCM(618,622) = ( 618 × 622) / 2
LCM(618,622) = 384396 / 2
LCM(618,622) = 192198
(i) The LCM of 622 and 618 is associative
LCM of 618 and 622 = LCM of 622 and 618
1. What is the LCM of 618 and 622?
Answer: LCM of 618 and 622 is 192198.
2. What are the Factors of 618?
Answer: Factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618. There are 8 integers that are factors of 618. The greatest factor of 618 is 618.
3. 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.
4. How to Find the LCM of 618 and 622?
Answer:
Least Common Multiple of 618 and 622 = 192198
Step 1: Find the prime factorization of 618
618 = 2 x 3 x 103
Step 2: Find the prime factorization of 622
622 = 2 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 192198 = 2 x 3 x 103 x 311
Step 4: Therefore, the least common multiple of 618 and 622 is 192198.