Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4052 and 4060 the smallest integer that is 4112780 that is divisible by both numbers.
Least Common Multiple (LCM) of 4052 and 4060 is 4112780.
LCM(4052,4060) = 4112780
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 4052 and 4060. First we will calculate the prime factors of 4052 and 4060.
Prime Factorization of 4052
2 | 4052 |
2 | 2026 |
1013 | 1013 |
1 |
Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:
4052 = 22×10131
Prime Factorization of 4060
2 | 4060 |
2 | 2030 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 4060 are 2, 5, 7,29. Prime factorization of 4060 in exponential form is:
4060 = 22×51×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 4052 and 4060.
LCM(4052,4060) = 22×51×71×291×10131
LCM(4052,4060) = 4112780
Factors of 4052
List of positive integer factors of 4052 that divides 4052 without a remainder.
1, 2, 4, 1013, 2026, 4052
Factors of 4060
List of positive integer factors of 4060 that divides 4060 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4052 and 4060, than apply into the LCM equation.
GCF(4052,4060) = 4
LCM(4052,4060) = ( 4052 × 4060) / 4
LCM(4052,4060) = 16451120 / 4
LCM(4052,4060) = 4112780
(i) The LCM of 4060 and 4052 is associative
LCM of 4052 and 4060 = LCM of 4060 and 4052
1. What is the LCM of 4052 and 4060?
Answer: LCM of 4052 and 4060 is 4112780.
2. What are the Factors of 4052?
Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.
3. What are the Factors of 4060?
Answer: Factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060. There are 24 integers that are factors of 4060. The greatest factor of 4060 is 4060.
4. How to Find the LCM of 4052 and 4060?
Answer:
Least Common Multiple of 4052 and 4060 = 4112780
Step 1: Find the prime factorization of 4052
4052 = 2 x 2 x 1013
Step 2: Find the prime factorization of 4060
4060 = 2 x 2 x 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4112780 = 2 x 2 x 5 x 7 x 29 x 1013
Step 4: Therefore, the least common multiple of 4052 and 4060 is 4112780.