Least Common Multiple of 618 and 623
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 623 the smallest integer that is 385014 that is divisible by both numbers.
Least Common Multiple (LCM) of 618 and 623 is 385014.
LCM(618,623) = 385014
LCM of 618 and 623
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 618 and 623 by Prime method
- Least Common Multiple of 618 and 623 with GCF Formula
LCM of 618 and 623 is 385014
Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 623. First we will calculate the prime factors of 618 and 623.
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 623
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:
623 = 71×891
Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 623.
LCM(618,623) = 21×31×71×891×1031
LCM(618,623) = 385014
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 623
List of positive integer factors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Least Common Multiple of 618 and 623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 618 and 623, than apply into the LCM equation.
GCF(618,623) = 1
LCM(618,623) = ( 618 × 623) / 1
LCM(618,623) = 385014 / 1
LCM(618,623) = 385014
Properties of LCM 618 and 623
(i) The LCM of 623 and 618 is associative
LCM of 618 and 623 = LCM of 623 and 618
Related Least Common Multiples of 618
Related Least Common Multiples of 623
Frequently Asked Questions on LCM of 618 and 623
1. What is the LCM of 618 and 623?
Answer: LCM of 618 and 623 is 385014.
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 623?
Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.
4. How to Find the LCM of 618 and 623?
Answer:
Least Common Multiple of 618 and 623 = 385014
Step 1: Find the prime factorization of 618
618 = 2 x 3 x 103
Step 2: Find the prime factorization of 623
623 = 7 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 385014 = 2 x 3 x 7 x 89 x 103
Step 4: Therefore, the least common multiple of 618 and 623 is 385014.