Least Common Multiple of 33151 and 33157
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 33151 and 33157 the smallest integer that is 1099187707 that is divisible by both numbers.
Least Common Multiple (LCM) of 33151 and 33157 is 1099187707.
LCM(33151,33157) = 1099187707
LCM of 33151 and 33157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 33151 and 33157 by Prime method
- Least Common Multiple of 33151 and 33157 with GCF Formula
LCM of 33151 and 33157 is 1099187707
Least common multiple can be found by multiplying the highest exponent prime factors of 33151 and 33157. First we will calculate the prime factors of 33151 and 33157.
Prime Factorization of 33151
| 33151 | 33151 |
| 1 |
Prime factors of 33151 are 33151. Prime factorization of 33151 in exponential form is:
33151 = 331511
Prime Factorization of 33157
| 71 | 33157 |
| 467 | 467 |
| 1 |
Prime factors of 33157 are 71,467. Prime factorization of 33157 in exponential form is:
33157 = 711×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 33151 and 33157.
LCM(33151,33157) = 711×4671×331511
LCM(33151,33157) = 1099187707
Factors of 33151
List of positive integer factors of 33151 that divides 33151 without a remainder.
1, 33151
Factors of 33157
List of positive integer factors of 33157 that divides 33157 without a remainder.
1, 71, 467, 33157
Least Common Multiple of 33151 and 33157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33151 and 33157, than apply into the LCM equation.
GCF(33151,33157) = 1
LCM(33151,33157) = ( 33151 × 33157) / 1
LCM(33151,33157) = 1099187707 / 1
LCM(33151,33157) = 1099187707
Properties of LCM 33151 and 33157
(i) The LCM of 33157 and 33151 is associative
LCM of 33151 and 33157 = LCM of 33157 and 33151
Related Least Common Multiples of 33151
Related Least Common Multiples of 33157
Frequently Asked Questions on LCM of 33151 and 33157
1. What is the LCM of 33151 and 33157?
Answer: LCM of 33151 and 33157 is 1099187707.
2. What are the Factors of 33151?
Answer: Factors of 33151 are 1, 33151. There are 2 integers that are factors of 33151. The greatest factor of 33151 is 33151.
3. What are the Factors of 33157?
Answer: Factors of 33157 are 1, 71, 467, 33157. There are 4 integers that are factors of 33157. The greatest factor of 33157 is 33157.
4. How to Find the LCM of 33151 and 33157?
Answer:
Least Common Multiple of 33151 and 33157 = 1099187707
Step 1: Find the prime factorization of 33151
33151 = 33151
Step 2: Find the prime factorization of 33157
33157 = 71 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1099187707 = 71 x 467 x 33151
Step 4: Therefore, the least common multiple of 33151 and 33157 is 1099187707.