Least Common Multiple of 40155 and 40159

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

• Least Common Multiple of 40155 and 40159 by Prime method
• Least Common Multiple of 40155 and 40159 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40155 and 40159. First we will calculate the prime factors of 40155 and 40159.

Prime Factorization of 40155

Prime factors of 40155 are 3, 5,2677. Prime factorization of 40155 in exponential form is:

40155 = 3¹×5¹×2677¹

Prime Factorization of 40159

Prime factors of 40159 are 7,5737. Prime factorization of 40159 in exponential form is:

40159 = 7¹×5737¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40155 and 40159.

LCM(40155,40159) = 3¹×5¹×7¹×2677¹×5737¹
LCM(40155,40159) = 1612584645

Factors of 40155

List of positive integer factors of 40155 that divides 40155 without a remainder.

1, 3, 5, 15, 2677, 8031, 13385, 40155

Factors of 40159

List of positive integer factors of 40159 that divides 40159 without a remainder.

1, 7, 5737, 40159

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40155 and 40159, than apply into the LCM equation.

GCF(40155,40159) = 1
LCM(40155,40159) = ( 40155 × 40159) / 1
LCM(40155,40159) = 1612584645 / 1
LCM(40155,40159) = 1612584645

(i) The LCM of 40159 and 40155 is associative

LCM of 40155 and 40159 = LCM of 40159 and 40155

1. What is the LCM of 40155 and 40159?

Answer: LCM of 40155 and 40159 is 1612584645.

2. What are the Factors of 40155?

Answer: Factors of 40155 are 1, 3, 5, 15, 2677, 8031, 13385, 40155. There are 8 integers that are factors of 40155. The greatest factor of 40155 is 40155.

3. What are the Factors of 40159?

Answer: Factors of 40159 are 1, 7, 5737, 40159. There are 4 integers that are factors of 40159. The greatest factor of 40159 is 40159.

4. How to Find the LCM of 40155 and 40159?

Answer:

Least Common Multiple of 40155 and 40159 = 1612584645

Step 1: Find the prime factorization of 40155

40155 = 3 x 5 x 2677

Step 2: Find the prime factorization of 40159

40159 = 7 x 5737

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

LCM = 1612584645 = 3 x 5 x 7 x 2677 x 5737

Step 4: Therefore, the least common multiple of 40155 and 40159 is 1612584645.