Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4151 and 4153 the smallest integer that is 17239103 that is divisible by both numbers.
Least Common Multiple (LCM) of 4151 and 4153 is 17239103.
LCM(4151,4153) = 17239103
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 4151 and 4153. First we will calculate the prime factors of 4151 and 4153.
Prime Factorization of 4151
7 | 4151 |
593 | 593 |
1 |
Prime factors of 4151 are 7,593. Prime factorization of 4151 in exponential form is:
4151 = 71×5931
Prime Factorization of 4153
4153 | 4153 |
1 |
Prime factors of 4153 are 4153. Prime factorization of 4153 in exponential form is:
4153 = 41531
Now multiplying the highest exponent prime factors to calculate the LCM of 4151 and 4153.
LCM(4151,4153) = 71×5931×41531
LCM(4151,4153) = 17239103
Factors of 4151
List of positive integer factors of 4151 that divides 4151 without a remainder.
1, 7, 593, 4151
Factors of 4153
List of positive integer factors of 4153 that divides 4153 without a remainder.
1, 4153
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4151 and 4153, than apply into the LCM equation.
GCF(4151,4153) = 1
LCM(4151,4153) = ( 4151 × 4153) / 1
LCM(4151,4153) = 17239103 / 1
LCM(4151,4153) = 17239103
(i) The LCM of 4153 and 4151 is associative
LCM of 4151 and 4153 = LCM of 4153 and 4151
1. What is the LCM of 4151 and 4153?
Answer: LCM of 4151 and 4153 is 17239103.
2. What are the Factors of 4151?
Answer: Factors of 4151 are 1, 7, 593, 4151. There are 4 integers that are factors of 4151. The greatest factor of 4151 is 4151.
3. What are the Factors of 4153?
Answer: Factors of 4153 are 1, 4153. There are 2 integers that are factors of 4153. The greatest factor of 4153 is 4153.
4. How to Find the LCM of 4151 and 4153?
Answer:
Least Common Multiple of 4151 and 4153 = 17239103
Step 1: Find the prime factorization of 4151
4151 = 7 x 593
Step 2: Find the prime factorization of 4153
4153 = 4153
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17239103 = 7 x 593 x 4153
Step 4: Therefore, the least common multiple of 4151 and 4153 is 17239103.