Least Common Multiple of 4052 and 4059

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 4059 the smallest integer that is 16447068 that is divisible by both numbers.

Least Common Multiple (LCM) of 4052 and 4059 is 16447068.

LCM(4052,4059) = 16447068

LCM of 4052 and 4059

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

LCM of:
and

Least Common Multiple of 4052 and 4059

LCM of 4052 and 4059 is 16447068

Least common multiple can be found by multiplying the highest exponent prime factors of 4052 and 4059. First we will calculate the prime factors of 4052 and 4059.

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 4059


3 4059
3 1353
11 451
41 41
1

Prime factors of 4059 are 3, 11,41. Prime factorization of 4059 in exponential form is:

4059 = 32×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4052 and 4059.

LCM(4052,4059) = 22×32×111×411×10131
LCM(4052,4059) = 16447068

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1, 2, 4, 1013, 2026, 4052

Factors of 4059

List of positive integer factors of 4059 that divides 4059 without a remainder.

1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

Least Common Multiple of 4052 and 4059 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 4059, than apply into the LCM equation.

GCF(4052,4059) = 1
LCM(4052,4059) = ( 4052 × 4059) / 1
LCM(4052,4059) = 16447068 / 1
LCM(4052,4059) = 16447068

Properties of LCM 4052 and 4059

(i) The LCM of 4059 and 4052 is associative

LCM of 4052 and 4059 = LCM of 4059 and 4052

Related Least Common Multiples of 4052

Related Least Common Multiples of 4059

Frequently Asked Questions on LCM of 4052 and 4059

1. What is the LCM of 4052 and 4059?

Answer: LCM of 4052 and 4059 is 16447068.

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 4059?

Answer: Factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059. There are 12 integers that are factors of 4059. The greatest factor of 4059 is 4059.

4. How to Find the LCM of 4052 and 4059?

Answer:

Least Common Multiple of 4052 and 4059 = 16447068

Step 1: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

Step 2: Find the prime factorization of 4059

4059 = 3 x 3 x 11 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16447068 = 2 x 2 x 3 x 3 x 11 x 41 x 1013

Step 4: Therefore, the least common multiple of 4052 and 4059 is 16447068.