Least Common Multiple of 42018 and 42026
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 42018 and 42026 the smallest integer that is 882924234 that is divisible by both numbers.
Least Common Multiple (LCM) of 42018 and 42026 is 882924234.
LCM(42018,42026) = 882924234
LCM of 42018 and 42026
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42018 and 42026 by Prime method
- Least Common Multiple of 42018 and 42026 with GCF Formula
LCM of 42018 and 42026 is 882924234
Least common multiple can be found by multiplying the highest exponent prime factors of 42018 and 42026. First we will calculate the prime factors of 42018 and 42026.
Prime Factorization of 42018
| 2 | 42018 |
| 3 | 21009 |
| 47 | 7003 |
| 149 | 149 |
| 1 |
Prime factors of 42018 are 2, 3, 47,149. Prime factorization of 42018 in exponential form is:
42018 = 21×31×471×1491
Prime Factorization of 42026
| 2 | 42026 |
| 21013 | 21013 |
| 1 |
Prime factors of 42026 are 2,21013. Prime factorization of 42026 in exponential form is:
42026 = 21×210131
Now multiplying the highest exponent prime factors to calculate the LCM of 42018 and 42026.
LCM(42018,42026) = 21×31×471×1491×210131
LCM(42018,42026) = 882924234
Factors of 42018
List of positive integer factors of 42018 that divides 42018 without a remainder.
1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018
Factors of 42026
List of positive integer factors of 42026 that divides 42026 without a remainder.
1, 2, 21013, 42026
Least Common Multiple of 42018 and 42026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42018 and 42026, than apply into the LCM equation.
GCF(42018,42026) = 2
LCM(42018,42026) = ( 42018 × 42026) / 2
LCM(42018,42026) = 1765848468 / 2
LCM(42018,42026) = 882924234
Properties of LCM 42018 and 42026
(i) The LCM of 42026 and 42018 is associative
LCM of 42018 and 42026 = LCM of 42026 and 42018
Related Least Common Multiples of 42018
Related Least Common Multiples of 42026
Frequently Asked Questions on LCM of 42018 and 42026
1. What is the LCM of 42018 and 42026?
Answer: LCM of 42018 and 42026 is 882924234.
2. What are the Factors of 42018?
Answer: Factors of 42018 are 1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018. There are 16 integers that are factors of 42018. The greatest factor of 42018 is 42018.
3. What are the Factors of 42026?
Answer: Factors of 42026 are 1, 2, 21013, 42026. There are 4 integers that are factors of 42026. The greatest factor of 42026 is 42026.
4. How to Find the LCM of 42018 and 42026?
Answer:
Least Common Multiple of 42018 and 42026 = 882924234
Step 1: Find the prime factorization of 42018
42018 = 2 x 3 x 47 x 149
Step 2: Find the prime factorization of 42026
42026 = 2 x 21013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 882924234 = 2 x 3 x 47 x 149 x 21013
Step 4: Therefore, the least common multiple of 42018 and 42026 is 882924234.