Least Common Multiple of 40159 and 40164

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

• Least Common Multiple of 40159 and 40164 by Prime method
• Least Common Multiple of 40159 and 40164 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40159 and 40164. First we will calculate the prime factors of 40159 and 40164.

Prime Factorization of 40159

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

40159 = 7¹×5737¹

Prime Factorization of 40164

Prime factors of 40164 are 2, 3,3347. Prime factorization of 40164 in exponential form is:

40164 = 2²×3¹×3347¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40159 and 40164.

LCM(40159,40164) = 2²×3¹×7¹×3347¹×5737¹
LCM(40159,40164) = 1612946076

Factors of 40159

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

1, 7, 5737, 40159

Factors of 40164

List of positive integer factors of 40164 that divides 40164 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40159 and 40164, than apply into the LCM equation.

GCF(40159,40164) = 1
LCM(40159,40164) = ( 40159 × 40164) / 1
LCM(40159,40164) = 1612946076 / 1
LCM(40159,40164) = 1612946076

(i) The LCM of 40164 and 40159 is associative

LCM of 40159 and 40164 = LCM of 40164 and 40159

1. What is the LCM of 40159 and 40164?

Answer: LCM of 40159 and 40164 is 1612946076.

2. 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.

3. What are the Factors of 40164?

Answer: Factors of 40164 are 1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164. There are 12 integers that are factors of 40164. The greatest factor of 40164 is 40164.

4. How to Find the LCM of 40159 and 40164?

Answer:

Least Common Multiple of 40159 and 40164 = 1612946076

Step 1: Find the prime factorization of 40159

40159 = 7 x 5737

Step 2: Find the prime factorization of 40164

40164 = 2 x 2 x 3 x 3347

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

LCM = 1612946076 = 2 x 2 x 3 x 7 x 3347 x 5737

Step 4: Therefore, the least common multiple of 40159 and 40164 is 1612946076.