Least Common Multiple of 2114 and 2121
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2114 and 2121 the smallest integer that is 640542 that is divisible by both numbers.
Least Common Multiple (LCM) of 2114 and 2121 is 640542.
LCM(2114,2121) = 640542
LCM of 2114 and 2121
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2114 and 2121 by Prime method
- Least Common Multiple of 2114 and 2121 with GCF Formula
LCM of 2114 and 2121 is 640542
Least common multiple can be found by multiplying the highest exponent prime factors of 2114 and 2121. First we will calculate the prime factors of 2114 and 2121.
Prime Factorization of 2114
| 2 | 2114 |
| 7 | 1057 |
| 151 | 151 |
| 1 |
Prime factors of 2114 are 2, 7,151. Prime factorization of 2114 in exponential form is:
2114 = 21×71×1511
Prime Factorization of 2121
| 3 | 2121 |
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 2121 are 3, 7,101. Prime factorization of 2121 in exponential form is:
2121 = 31×71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 2114 and 2121.
LCM(2114,2121) = 21×31×71×1011×1511
LCM(2114,2121) = 640542
Factors of 2114
List of positive integer factors of 2114 that divides 2114 without a remainder.
1, 2, 7, 14, 151, 302, 1057, 2114
Factors of 2121
List of positive integer factors of 2121 that divides 2121 without a remainder.
1, 3, 7, 21, 101, 303, 707, 2121
Least Common Multiple of 2114 and 2121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2114 and 2121, than apply into the LCM equation.
GCF(2114,2121) = 7
LCM(2114,2121) = ( 2114 × 2121) / 7
LCM(2114,2121) = 4483794 / 7
LCM(2114,2121) = 640542
Properties of LCM 2114 and 2121
(i) The LCM of 2121 and 2114 is associative
LCM of 2114 and 2121 = LCM of 2121 and 2114
Related Least Common Multiples of 2114
Related Least Common Multiples of 2121
Frequently Asked Questions on LCM of 2114 and 2121
1. What is the LCM of 2114 and 2121?
Answer: LCM of 2114 and 2121 is 640542.
2. What are the Factors of 2114?
Answer: Factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114. There are 8 integers that are factors of 2114. The greatest factor of 2114 is 2114.
3. What are the Factors of 2121?
Answer: Factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121. There are 8 integers that are factors of 2121. The greatest factor of 2121 is 2121.
4. How to Find the LCM of 2114 and 2121?
Answer:
Least Common Multiple of 2114 and 2121 = 640542
Step 1: Find the prime factorization of 2114
2114 = 2 x 7 x 151
Step 2: Find the prime factorization of 2121
2121 = 3 x 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 640542 = 2 x 3 x 7 x 101 x 151
Step 4: Therefore, the least common multiple of 2114 and 2121 is 640542.