Least Common Multiple of 40026 and 40030

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

• Least Common Multiple of 40026 and 40030 by Prime method
• Least Common Multiple of 40026 and 40030 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40030. First we will calculate the prime factors of 40026 and 40030.

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 40030

Prime factors of 40030 are 2, 5,4003. Prime factorization of 40030 in exponential form is:

40030 = 2¹×5¹×4003¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40030.

LCM(40026,40030) = 2¹×3¹×5¹×7¹×953¹×4003¹
LCM(40026,40030) = 801120390

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 40030

List of positive integer factors of 40030 that divides 40030 without a remainder.

1, 2, 5, 10, 4003, 8006, 20015, 40030

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40026 and 40030, than apply into the LCM equation.

GCF(40026,40030) = 2
LCM(40026,40030) = ( 40026 × 40030) / 2
LCM(40026,40030) = 1602240780 / 2
LCM(40026,40030) = 801120390

(i) The LCM of 40030 and 40026 is associative

LCM of 40026 and 40030 = LCM of 40030 and 40026

1. What is the LCM of 40026 and 40030?

Answer: LCM of 40026 and 40030 is 801120390.

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 40030?

Answer: Factors of 40030 are 1, 2, 5, 10, 4003, 8006, 20015, 40030. There are 8 integers that are factors of 40030. The greatest factor of 40030 is 40030.

4. How to Find the LCM of 40026 and 40030?

Answer:

Least Common Multiple of 40026 and 40030 = 801120390

Step 1: Find the prime factorization of 40026

40026 = 2 x 3 x 7 x 953

Step 2: Find the prime factorization of 40030

40030 = 2 x 5 x 4003

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

LCM = 801120390 = 2 x 3 x 5 x 7 x 953 x 4003

Step 4: Therefore, the least common multiple of 40026 and 40030 is 801120390.