Least Common Multiple of 4053 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 4053 and 4060 the smallest integer that is 2350740 that is divisible by both numbers.

Least Common Multiple (LCM) of 4053 and 4060 is 2350740.

LCM(4053,4060) = 2350740

LCM of 4053 and 4060

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

LCM of:
and

Least Common Multiple of 4053 and 4060

LCM of 4053 and 4060 is 2350740

Least common multiple can be found by multiplying the highest exponent prime factors of 4053 and 4060. First we will calculate the prime factors of 4053 and 4060.

Prime Factorization of 4053


3 4053
7 1351
193 193
1

Prime factors of 4053 are 3, 7,193. Prime factorization of 4053 in exponential form is:

4053 = 31×71×1931

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 4053 and 4060.

LCM(4053,4060) = 22×31×51×71×291×1931
LCM(4053,4060) = 2350740

Factors of 4053

List of positive integer factors of 4053 that divides 4053 without a remainder.

1, 3, 7, 21, 193, 579, 1351, 4053

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 4053 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 4053 and 4060, than apply into the LCM equation.

GCF(4053,4060) = 7
LCM(4053,4060) = ( 4053 × 4060) / 7
LCM(4053,4060) = 16455180 / 7
LCM(4053,4060) = 2350740

Properties of LCM 4053 and 4060

(i) The LCM of 4060 and 4053 is associative

LCM of 4053 and 4060 = LCM of 4060 and 4053

Related Least Common Multiples of 4053

Related Least Common Multiples of 4060

Frequently Asked Questions on LCM of 4053 and 4060

1. What is the LCM of 4053 and 4060?

Answer: LCM of 4053 and 4060 is 2350740.

2. What are the Factors of 4053?

Answer: Factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053. There are 8 integers that are factors of 4053. The greatest factor of 4053 is 4053.

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 4053 and 4060?

Answer:

Least Common Multiple of 4053 and 4060 = 2350740

Step 1: Find the prime factorization of 4053

4053 = 3 x 7 x 193

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 = 2350740 = 2 x 2 x 3 x 5 x 7 x 29 x 193

Step 4: Therefore, the least common multiple of 4053 and 4060 is 2350740.