Least Common Multiple of 40019 and 40026

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

• Least Common Multiple of 40019 and 40026 by Prime method
• Least Common Multiple of 40019 and 40026 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40019 and 40026. First we will calculate the prime factors of 40019 and 40026.

Prime Factorization of 40019

Prime factors of 40019 are 7,5717. Prime factorization of 40019 in exponential form is:

40019 = 7¹×5717¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 40019 and 40026.

LCM(40019,40026) = 2¹×3¹×7¹×953¹×5717¹
LCM(40019,40026) = 228828642

Factors of 40019

List of positive integer factors of 40019 that divides 40019 without a remainder.

1, 7, 5717, 40019

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40019 and 40026, than apply into the LCM equation.

GCF(40019,40026) = 7
LCM(40019,40026) = ( 40019 × 40026) / 7
LCM(40019,40026) = 1601800494 / 7
LCM(40019,40026) = 228828642

(i) The LCM of 40026 and 40019 is associative

LCM of 40019 and 40026 = LCM of 40026 and 40019

1. What is the LCM of 40019 and 40026?

Answer: LCM of 40019 and 40026 is 228828642.

2. What are the Factors of 40019?

Answer: Factors of 40019 are 1, 7, 5717, 40019. There are 4 integers that are factors of 40019. The greatest factor of 40019 is 40019.

3. 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.

4. How to Find the LCM of 40019 and 40026?

Answer:

Least Common Multiple of 40019 and 40026 = 228828642

Step 1: Find the prime factorization of 40019

40019 = 7 x 5717

Step 2: Find the prime factorization of 40026

40026 = 2 x 3 x 7 x 953

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

LCM = 228828642 = 2 x 3 x 7 x 953 x 5717

Step 4: Therefore, the least common multiple of 40019 and 40026 is 228828642.