Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2153 and 2157 the smallest integer that is 4644021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2153 and 2157 is 4644021.
LCM(2153,2157) = 4644021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2153 and 2157. First we will calculate the prime factors of 2153 and 2157.
Prime Factorization of 2153
2153 | 2153 |
1 |
Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:
2153 = 21531
Prime Factorization of 2157
3 | 2157 |
719 | 719 |
1 |
Prime factors of 2157 are 3,719. Prime factorization of 2157 in exponential form is:
2157 = 31×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 2153 and 2157.
LCM(2153,2157) = 31×7191×21531
LCM(2153,2157) = 4644021
Factors of 2153
List of positive integer factors of 2153 that divides 2153 without a remainder.
1, 2153
Factors of 2157
List of positive integer factors of 2157 that divides 2157 without a remainder.
1, 3, 719, 2157
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2153 and 2157, than apply into the LCM equation.
GCF(2153,2157) = 1
LCM(2153,2157) = ( 2153 × 2157) / 1
LCM(2153,2157) = 4644021 / 1
LCM(2153,2157) = 4644021
(i) The LCM of 2157 and 2153 is associative
LCM of 2153 and 2157 = LCM of 2157 and 2153
1. What is the LCM of 2153 and 2157?
Answer: LCM of 2153 and 2157 is 4644021.
2. What are the Factors of 2153?
Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.
3. What are the Factors of 2157?
Answer: Factors of 2157 are 1, 3, 719, 2157. There are 4 integers that are factors of 2157. The greatest factor of 2157 is 2157.
4. How to Find the LCM of 2153 and 2157?
Answer:
Least Common Multiple of 2153 and 2157 = 4644021
Step 1: Find the prime factorization of 2153
2153 = 2153
Step 2: Find the prime factorization of 2157
2157 = 3 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4644021 = 3 x 719 x 2153
Step 4: Therefore, the least common multiple of 2153 and 2157 is 4644021.