Least Common Multiple of 4052 and 4060

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

LCM of 4052 and 4060

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4052 and 4060

LCM of 4052 and 4060 is 4112780

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

Least Common Multiple of 4052 and 4060 with GCF Formula

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

Properties of LCM 4052 and 4060

(i) The LCM of 4060 and 4052 is associative

LCM of 4052 and 4060 = LCM of 4060 and 4052

Frequently Asked Questions on LCM of 4052 and 4060

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.