Least Common Multiple of 42010 and 42018

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

• Least Common Multiple of 42010 and 42018 by Prime method
• Least Common Multiple of 42010 and 42018 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 42010 and 42018. First we will calculate the prime factors of 42010 and 42018.

Prime Factorization of 42010

Prime factors of 42010 are 2, 5,4201. Prime factorization of 42010 in exponential form is:

42010 = 2¹×5¹×4201¹

Prime Factorization of 42018

Prime factors of 42018 are 2, 3, 47,149. Prime factorization of 42018 in exponential form is:

42018 = 2¹×3¹×47¹×149¹

Now multiplying the highest exponent prime factors to calculate the LCM of 42010 and 42018.

LCM(42010,42018) = 2¹×3¹×5¹×47¹×149¹×4201¹
LCM(42010,42018) = 882588090

Factors of 42010

List of positive integer factors of 42010 that divides 42010 without a remainder.

1, 2, 5, 10, 4201, 8402, 21005, 42010

Factors of 42018

List of positive integer factors of 42018 that divides 42018 without a remainder.

1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42010 and 42018, than apply into the LCM equation.

GCF(42010,42018) = 2
LCM(42010,42018) = ( 42010 × 42018) / 2
LCM(42010,42018) = 1765176180 / 2
LCM(42010,42018) = 882588090

(i) The LCM of 42018 and 42010 is associative

LCM of 42010 and 42018 = LCM of 42018 and 42010

1. What is the LCM of 42010 and 42018?

Answer: LCM of 42010 and 42018 is 882588090.

2. What are the Factors of 42010?

Answer: Factors of 42010 are 1, 2, 5, 10, 4201, 8402, 21005, 42010. There are 8 integers that are factors of 42010. The greatest factor of 42010 is 42010.

3. What are the Factors of 42018?

Answer: Factors of 42018 are 1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018. There are 16 integers that are factors of 42018. The greatest factor of 42018 is 42018.

4. How to Find the LCM of 42010 and 42018?

Answer:

Least Common Multiple of 42010 and 42018 = 882588090

Step 1: Find the prime factorization of 42010

42010 = 2 x 5 x 4201

Step 2: Find the prime factorization of 42018

42018 = 2 x 3 x 47 x 149

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

LCM = 882588090 = 2 x 3 x 5 x 47 x 149 x 4201

Step 4: Therefore, the least common multiple of 42010 and 42018 is 882588090.