Least Common Multiple of 40163 and 40170

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

• Least Common Multiple of 40163 and 40170 by Prime method
• Least Common Multiple of 40163 and 40170 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40163 and 40170. First we will calculate the prime factors of 40163 and 40170.

Prime Factorization of 40163

Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:

40163 = 40163¹

Prime Factorization of 40170

Prime factors of 40170 are 2, 3, 5, 13,103. Prime factorization of 40170 in exponential form is:

40170 = 2¹×3¹×5¹×13¹×103¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40163 and 40170.

LCM(40163,40170) = 2¹×3¹×5¹×13¹×103¹×40163¹
LCM(40163,40170) = 1613347710

Factors of 40163

List of positive integer factors of 40163 that divides 40163 without a remainder.

1, 40163

Factors of 40170

List of positive integer factors of 40170 that divides 40170 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085, 40170

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40163 and 40170, than apply into the LCM equation.

GCF(40163,40170) = 1
LCM(40163,40170) = ( 40163 × 40170) / 1
LCM(40163,40170) = 1613347710 / 1
LCM(40163,40170) = 1613347710

(i) The LCM of 40170 and 40163 is associative

LCM of 40163 and 40170 = LCM of 40170 and 40163

1. What is the LCM of 40163 and 40170?

Answer: LCM of 40163 and 40170 is 1613347710.

2. What are the Factors of 40163?

Answer: Factors of 40163 are 1, 40163. There are 2 integers that are factors of 40163. The greatest factor of 40163 is 40163.

3. What are the Factors of 40170?

Answer: Factors of 40170 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085, 40170. There are 32 integers that are factors of 40170. The greatest factor of 40170 is 40170.

4. How to Find the LCM of 40163 and 40170?

Answer:

Least Common Multiple of 40163 and 40170 = 1613347710

Step 1: Find the prime factorization of 40163

40163 = 40163

Step 2: Find the prime factorization of 40170

40170 = 2 x 3 x 5 x 13 x 103

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

LCM = 1613347710 = 2 x 3 x 5 x 13 x 103 x 40163

Step 4: Therefore, the least common multiple of 40163 and 40170 is 1613347710.