Least Common Multiple of 40026 and 40031

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

• Least Common Multiple of 40026 and 40031 by Prime method
• Least Common Multiple of 40026 and 40031 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40031. First we will calculate the prime factors of 40026 and 40031.

Prime Factorization of 40026

Prime factors of 40026 are 2, 3, 7,953. Prime factorization of 40026 in exponential form is:

40026 = 2¹×3¹×7¹×953¹

Prime Factorization of 40031

Prime factors of 40031 are 40031. Prime factorization of 40031 in exponential form is:

40031 = 40031¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40031.

LCM(40026,40031) = 2¹×3¹×7¹×953¹×40031¹
LCM(40026,40031) = 1602280806

Factors of 40026

List of positive integer factors of 40026 that divides 40026 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 953, 1906, 2859, 5718, 6671, 13342, 20013, 40026

Factors of 40031

List of positive integer factors of 40031 that divides 40031 without a remainder.

1, 40031

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40026 and 40031, than apply into the LCM equation.

GCF(40026,40031) = 1
LCM(40026,40031) = ( 40026 × 40031) / 1
LCM(40026,40031) = 1602280806 / 1
LCM(40026,40031) = 1602280806

(i) The LCM of 40031 and 40026 is associative

LCM of 40026 and 40031 = LCM of 40031 and 40026

1. What is the LCM of 40026 and 40031?

Answer: LCM of 40026 and 40031 is 1602280806.

2. What are the Factors of 40026?

Answer: Factors of 40026 are 1, 2, 3, 6, 7, 14, 21, 42, 953, 1906, 2859, 5718, 6671, 13342, 20013, 40026. There are 16 integers that are factors of 40026. The greatest factor of 40026 is 40026.

3. What are the Factors of 40031?

Answer: Factors of 40031 are 1, 40031. There are 2 integers that are factors of 40031. The greatest factor of 40031 is 40031.

4. How to Find the LCM of 40026 and 40031?

Answer:

Least Common Multiple of 40026 and 40031 = 1602280806

Step 1: Find the prime factorization of 40026

40026 = 2 x 3 x 7 x 953

Step 2: Find the prime factorization of 40031

40031 = 40031

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

LCM = 1602280806 = 2 x 3 x 7 x 953 x 40031

Step 4: Therefore, the least common multiple of 40026 and 40031 is 1602280806.