Least Common Multiple of 40015 and 40021

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

• Least Common Multiple of 40015 and 40021 by Prime method
• Least Common Multiple of 40015 and 40021 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40015 and 40021. First we will calculate the prime factors of 40015 and 40021.

Prime Factorization of 40015

Prime factors of 40015 are 5, 53,151. Prime factorization of 40015 in exponential form is:

40015 = 5¹×53¹×151¹

Prime Factorization of 40021

Prime factors of 40021 are 31,1291. Prime factorization of 40021 in exponential form is:

40021 = 31¹×1291¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40015 and 40021.

LCM(40015,40021) = 5¹×31¹×53¹×151¹×1291¹
LCM(40015,40021) = 1601440315

Factors of 40015

List of positive integer factors of 40015 that divides 40015 without a remainder.

1, 5, 53, 151, 265, 755, 8003, 40015

Factors of 40021

List of positive integer factors of 40021 that divides 40021 without a remainder.

1, 31, 1291, 40021

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40015 and 40021, than apply into the LCM equation.

GCF(40015,40021) = 1
LCM(40015,40021) = ( 40015 × 40021) / 1
LCM(40015,40021) = 1601440315 / 1
LCM(40015,40021) = 1601440315

(i) The LCM of 40021 and 40015 is associative

LCM of 40015 and 40021 = LCM of 40021 and 40015

1. What is the LCM of 40015 and 40021?

Answer: LCM of 40015 and 40021 is 1601440315.

2. What are the Factors of 40015?

Answer: Factors of 40015 are 1, 5, 53, 151, 265, 755, 8003, 40015. There are 8 integers that are factors of 40015. The greatest factor of 40015 is 40015.

3. What are the Factors of 40021?

Answer: Factors of 40021 are 1, 31, 1291, 40021. There are 4 integers that are factors of 40021. The greatest factor of 40021 is 40021.

4. How to Find the LCM of 40015 and 40021?

Answer:

Least Common Multiple of 40015 and 40021 = 1601440315

Step 1: Find the prime factorization of 40015

40015 = 5 x 53 x 151

Step 2: Find the prime factorization of 40021

40021 = 31 x 1291

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

LCM = 1601440315 = 5 x 31 x 53 x 151 x 1291

Step 4: Therefore, the least common multiple of 40015 and 40021 is 1601440315.