Least Common Multiple of 42022 and 42029

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

• Least Common Multiple of 42022 and 42029 by Prime method
• Least Common Multiple of 42022 and 42029 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 42022 and 42029. First we will calculate the prime factors of 42022 and 42029.

Prime Factorization of 42022

Prime factors of 42022 are 2,21011. Prime factorization of 42022 in exponential form is:

42022 = 2¹×21011¹

Prime Factorization of 42029

Prime factors of 42029 are 13, 53,61. Prime factorization of 42029 in exponential form is:

42029 = 13¹×53¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 42022 and 42029.

LCM(42022,42029) = 2¹×13¹×53¹×61¹×21011¹
LCM(42022,42029) = 1766142638

Factors of 42022

List of positive integer factors of 42022 that divides 42022 without a remainder.

1, 2, 21011, 42022

Factors of 42029

List of positive integer factors of 42029 that divides 42029 without a remainder.

1, 13, 53, 61, 689, 793, 3233, 42029

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42022 and 42029, than apply into the LCM equation.

GCF(42022,42029) = 1
LCM(42022,42029) = ( 42022 × 42029) / 1
LCM(42022,42029) = 1766142638 / 1
LCM(42022,42029) = 1766142638

(i) The LCM of 42029 and 42022 is associative

LCM of 42022 and 42029 = LCM of 42029 and 42022

1. What is the LCM of 42022 and 42029?

Answer: LCM of 42022 and 42029 is 1766142638.

2. What are the Factors of 42022?

Answer: Factors of 42022 are 1, 2, 21011, 42022. There are 4 integers that are factors of 42022. The greatest factor of 42022 is 42022.

3. What are the Factors of 42029?

Answer: Factors of 42029 are 1, 13, 53, 61, 689, 793, 3233, 42029. There are 8 integers that are factors of 42029. The greatest factor of 42029 is 42029.

4. How to Find the LCM of 42022 and 42029?

Answer:

Least Common Multiple of 42022 and 42029 = 1766142638

Step 1: Find the prime factorization of 42022

42022 = 2 x 21011

Step 2: Find the prime factorization of 42029

42029 = 13 x 53 x 61

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

LCM = 1766142638 = 2 x 13 x 53 x 61 x 21011

Step 4: Therefore, the least common multiple of 42022 and 42029 is 1766142638.