Least Common Multiple of 4026 and 4033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4026 and 4033 the smallest integer that is 16236858 that is divisible by both numbers.

Least Common Multiple (LCM) of 4026 and 4033 is 16236858.

LCM(4026,4033) = 16236858

LCM of 4026 and 4033

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

LCM of:
and

Least Common Multiple of 4026 and 4033

LCM of 4026 and 4033 is 16236858

Least common multiple can be found by multiplying the highest exponent prime factors of 4026 and 4033. First we will calculate the prime factors of 4026 and 4033.

Prime Factorization of 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

Prime Factorization of 4033


37 4033
109 109
1

Prime factors of 4033 are 37,109. Prime factorization of 4033 in exponential form is:

4033 = 371×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4026 and 4033.

LCM(4026,4033) = 21×31×111×371×611×1091
LCM(4026,4033) = 16236858

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

Factors of 4033

List of positive integer factors of 4033 that divides 4033 without a remainder.

1, 37, 109, 4033

Least Common Multiple of 4026 and 4033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4026 and 4033, than apply into the LCM equation.

GCF(4026,4033) = 1
LCM(4026,4033) = ( 4026 × 4033) / 1
LCM(4026,4033) = 16236858 / 1
LCM(4026,4033) = 16236858

Properties of LCM 4026 and 4033

(i) The LCM of 4033 and 4026 is associative

LCM of 4026 and 4033 = LCM of 4033 and 4026

Related Least Common Multiples of 4026

Related Least Common Multiples of 4033

Frequently Asked Questions on LCM of 4026 and 4033

1. What is the LCM of 4026 and 4033?

Answer: LCM of 4026 and 4033 is 16236858.

2. What are the Factors of 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

3. What are the Factors of 4033?

Answer: Factors of 4033 are 1, 37, 109, 4033. There are 4 integers that are factors of 4033. The greatest factor of 4033 is 4033.

4. How to Find the LCM of 4026 and 4033?

Answer:

Least Common Multiple of 4026 and 4033 = 16236858

Step 1: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

Step 2: Find the prime factorization of 4033

4033 = 37 x 109

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

LCM = 16236858 = 2 x 3 x 11 x 37 x 61 x 109

Step 4: Therefore, the least common multiple of 4026 and 4033 is 16236858.