Least Common Multiple of 2038 and 2046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2038 and 2046 the smallest integer that is 2084874 that is divisible by both numbers.

Least Common Multiple (LCM) of 2038 and 2046 is 2084874.

LCM(2038,2046) = 2084874

LCM of 2038 and 2046

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

LCM of:
and

Least Common Multiple of 2038 and 2046

LCM of 2038 and 2046 is 2084874

Least common multiple can be found by multiplying the highest exponent prime factors of 2038 and 2046. First we will calculate the prime factors of 2038 and 2046.

Prime Factorization of 2038


2 2038
1019 1019
1

Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:

2038 = 21×10191

Prime Factorization of 2046


2 2046
3 1023
11 341
31 31
1

Prime factors of 2046 are 2, 3, 11,31. Prime factorization of 2046 in exponential form is:

2046 = 21×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2038 and 2046.

LCM(2038,2046) = 21×31×111×311×10191
LCM(2038,2046) = 2084874

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1, 2, 1019, 2038

Factors of 2046

List of positive integer factors of 2046 that divides 2046 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046

Least Common Multiple of 2038 and 2046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2038 and 2046, than apply into the LCM equation.

GCF(2038,2046) = 2
LCM(2038,2046) = ( 2038 × 2046) / 2
LCM(2038,2046) = 4169748 / 2
LCM(2038,2046) = 2084874

Properties of LCM 2038 and 2046

(i) The LCM of 2046 and 2038 is associative

LCM of 2038 and 2046 = LCM of 2046 and 2038

Related Least Common Multiples of 2038

Related Least Common Multiples of 2046

Frequently Asked Questions on LCM of 2038 and 2046

1. What is the LCM of 2038 and 2046?

Answer: LCM of 2038 and 2046 is 2084874.

2. What are the Factors of 2038?

Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.

3. What are the Factors of 2046?

Answer: Factors of 2046 are 1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046. There are 16 integers that are factors of 2046. The greatest factor of 2046 is 2046.

4. How to Find the LCM of 2038 and 2046?

Answer:

Least Common Multiple of 2038 and 2046 = 2084874

Step 1: Find the prime factorization of 2038

2038 = 2 x 1019

Step 2: Find the prime factorization of 2046

2046 = 2 x 3 x 11 x 31

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

LCM = 2084874 = 2 x 3 x 11 x 31 x 1019

Step 4: Therefore, the least common multiple of 2038 and 2046 is 2084874.