Least Common Multiple of 133 and 137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 133 and 137 the smallest integer that is 18221 that is divisible by both numbers.
Least Common Multiple (LCM) of 133 and 137 is 18221.
LCM(133,137) = 18221
LCM of 133 and 137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 133 and 137 by Prime method
- Least Common Multiple of 133 and 137 with GCF Formula
LCM of 133 and 137 is 18221
Least common multiple can be found by multiplying the highest exponent prime factors of 133 and 137. First we will calculate the prime factors of 133 and 137.
Prime Factorization of 133
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:
133 = 71×191
Prime Factorization of 137
| 137 | 137 |
| 1 |
Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:
137 = 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 133 and 137.
LCM(133,137) = 71×191×1371
LCM(133,137) = 18221
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1, 137
Least Common Multiple of 133 and 137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 133 and 137, than apply into the LCM equation.
GCF(133,137) = 1
LCM(133,137) = ( 133 × 137) / 1
LCM(133,137) = 18221 / 1
LCM(133,137) = 18221
Properties of LCM 133 and 137
(i) The LCM of 137 and 133 is associative
LCM of 133 and 137 = LCM of 137 and 133
Related Least Common Multiples of 133
Related Least Common Multiples of 137
Frequently Asked Questions on LCM of 133 and 137
1. What is the LCM of 133 and 137?
Answer: LCM of 133 and 137 is 18221.
2. What are the Factors of 133?
Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.
3. What are the Factors of 137?
Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.
4. How to Find the LCM of 133 and 137?
Answer:
Least Common Multiple of 133 and 137 = 18221
Step 1: Find the prime factorization of 133
133 = 7 x 19
Step 2: Find the prime factorization of 137
137 = 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18221 = 7 x 19 x 137
Step 4: Therefore, the least common multiple of 133 and 137 is 18221.
