Least Common Multiple of 67034 and 67038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67034 and 67038 the smallest integer that is 2246912646 that is divisible by both numbers.

Least Common Multiple (LCM) of 67034 and 67038 is 2246912646.

LCM(67034,67038) = 2246912646

LCM of 67034 and 67038

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

LCM of:
and

Least Common Multiple of 67034 and 67038

LCM of 67034 and 67038 is 2246912646

Least common multiple can be found by multiplying the highest exponent prime factors of 67034 and 67038. First we will calculate the prime factors of 67034 and 67038.

Prime Factorization of 67034


2 67034
11 33517
11 3047
277 277
1

Prime factors of 67034 are 2, 11,277. Prime factorization of 67034 in exponential form is:

67034 = 21×112×2771

Prime Factorization of 67038


2 67038
3 33519
11173 11173
1

Prime factors of 67038 are 2, 3,11173. Prime factorization of 67038 in exponential form is:

67038 = 21×31×111731

Now multiplying the highest exponent prime factors to calculate the LCM of 67034 and 67038.

LCM(67034,67038) = 21×31×112×2771×111731
LCM(67034,67038) = 2246912646

Factors of 67034

List of positive integer factors of 67034 that divides 67034 without a remainder.

1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034

Factors of 67038

List of positive integer factors of 67038 that divides 67038 without a remainder.

1, 2, 3, 6, 11173, 22346, 33519, 67038

Least Common Multiple of 67034 and 67038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67034 and 67038, than apply into the LCM equation.

GCF(67034,67038) = 2
LCM(67034,67038) = ( 67034 × 67038) / 2
LCM(67034,67038) = 4493825292 / 2
LCM(67034,67038) = 2246912646

Properties of LCM 67034 and 67038

(i) The LCM of 67038 and 67034 is associative

LCM of 67034 and 67038 = LCM of 67038 and 67034

Related Least Common Multiples of 67034

Related Least Common Multiples of 67038

Frequently Asked Questions on LCM of 67034 and 67038

1. What is the LCM of 67034 and 67038?

Answer: LCM of 67034 and 67038 is 2246912646.

2. What are the Factors of 67034?

Answer: Factors of 67034 are 1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034. There are 12 integers that are factors of 67034. The greatest factor of 67034 is 67034.

3. What are the Factors of 67038?

Answer: Factors of 67038 are 1, 2, 3, 6, 11173, 22346, 33519, 67038. There are 8 integers that are factors of 67038. The greatest factor of 67038 is 67038.

4. How to Find the LCM of 67034 and 67038?

Answer:

Least Common Multiple of 67034 and 67038 = 2246912646

Step 1: Find the prime factorization of 67034

67034 = 2 x 11 x 11 x 277

Step 2: Find the prime factorization of 67038

67038 = 2 x 3 x 11173

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

LCM = 2246912646 = 2 x 3 x 11 x 11 x 277 x 11173

Step 4: Therefore, the least common multiple of 67034 and 67038 is 2246912646.