Least Common Multiple of 67031 and 67038

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

• Least Common Multiple of 67031 and 67038 by Prime method
• Least Common Multiple of 67031 and 67038 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67031 and 67038. First we will calculate the prime factors of 67031 and 67038.

Prime Factorization of 67031

Prime factors of 67031 are 17,3943. Prime factorization of 67031 in exponential form is:

67031 = 17¹×3943¹

Prime Factorization of 67038

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 67031 and 67038.

LCM(67031,67038) = 2¹×3¹×17¹×3943¹×11173¹
LCM(67031,67038) = 4493624178

Factors of 67031

List of positive integer factors of 67031 that divides 67031 without a remainder.

1, 17, 3943, 67031

Factors of 67038

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67031 and 67038, than apply into the LCM equation.

GCF(67031,67038) = 1
LCM(67031,67038) = ( 67031 × 67038) / 1
LCM(67031,67038) = 4493624178 / 1
LCM(67031,67038) = 4493624178

(i) The LCM of 67038 and 67031 is associative

LCM of 67031 and 67038 = LCM of 67038 and 67031

1. What is the LCM of 67031 and 67038?

Answer: LCM of 67031 and 67038 is 4493624178.

2. What are the Factors of 67031?

Answer: Factors of 67031 are 1, 17, 3943, 67031. There are 4 integers that are factors of 67031. The greatest factor of 67031 is 67031.

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 67031 and 67038?

Answer:

Least Common Multiple of 67031 and 67038 = 4493624178

Step 1: Find the prime factorization of 67031

67031 = 17 x 3943

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 = 4493624178 = 2 x 3 x 17 x 3943 x 11173

Step 4: Therefore, the least common multiple of 67031 and 67038 is 4493624178.