Least Common Multiple of 40044 and 40049

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

• Least Common Multiple of 40044 and 40049 by Prime method
• Least Common Multiple of 40044 and 40049 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40044 and 40049. First we will calculate the prime factors of 40044 and 40049.

Prime Factorization of 40044

Prime factors of 40044 are 2, 3, 47,71. Prime factorization of 40044 in exponential form is:

40044 = 2²×3¹×47¹×71¹

Prime Factorization of 40049

Prime factors of 40049 are 29,1381. Prime factorization of 40049 in exponential form is:

40049 = 29¹×1381¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40044 and 40049.

LCM(40044,40049) = 2²×3¹×29¹×47¹×71¹×1381¹
LCM(40044,40049) = 1603722156

Factors of 40044

List of positive integer factors of 40044 that divides 40044 without a remainder.

1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044

Factors of 40049

List of positive integer factors of 40049 that divides 40049 without a remainder.

1, 29, 1381, 40049

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40044 and 40049, than apply into the LCM equation.

GCF(40044,40049) = 1
LCM(40044,40049) = ( 40044 × 40049) / 1
LCM(40044,40049) = 1603722156 / 1
LCM(40044,40049) = 1603722156

(i) The LCM of 40049 and 40044 is associative

LCM of 40044 and 40049 = LCM of 40049 and 40044

1. What is the LCM of 40044 and 40049?

Answer: LCM of 40044 and 40049 is 1603722156.

2. What are the Factors of 40044?

Answer: Factors of 40044 are 1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044. There are 24 integers that are factors of 40044. The greatest factor of 40044 is 40044.

3. What are the Factors of 40049?

Answer: Factors of 40049 are 1, 29, 1381, 40049. There are 4 integers that are factors of 40049. The greatest factor of 40049 is 40049.

4. How to Find the LCM of 40044 and 40049?

Answer:

Least Common Multiple of 40044 and 40049 = 1603722156

Step 1: Find the prime factorization of 40044

40044 = 2 x 2 x 3 x 47 x 71

Step 2: Find the prime factorization of 40049

40049 = 29 x 1381

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

LCM = 1603722156 = 2 x 2 x 3 x 29 x 47 x 71 x 1381

Step 4: Therefore, the least common multiple of 40044 and 40049 is 1603722156.