Least Common Multiple of 40061 and 40065

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

• Least Common Multiple of 40061 and 40065 by Prime method
• Least Common Multiple of 40061 and 40065 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40061 and 40065. First we will calculate the prime factors of 40061 and 40065.

Prime Factorization of 40061

Prime factors of 40061 are 7, 59,97. Prime factorization of 40061 in exponential form is:

40061 = 7¹×59¹×97¹

Prime Factorization of 40065

Prime factors of 40065 are 3, 5,2671. Prime factorization of 40065 in exponential form is:

40065 = 3¹×5¹×2671¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40061 and 40065.

LCM(40061,40065) = 3¹×5¹×7¹×59¹×97¹×2671¹
LCM(40061,40065) = 1605043965

Factors of 40061

List of positive integer factors of 40061 that divides 40061 without a remainder.

1, 7, 59, 97, 413, 679, 5723, 40061

Factors of 40065

List of positive integer factors of 40065 that divides 40065 without a remainder.

1, 3, 5, 15, 2671, 8013, 13355, 40065

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40061 and 40065, than apply into the LCM equation.

GCF(40061,40065) = 1
LCM(40061,40065) = ( 40061 × 40065) / 1
LCM(40061,40065) = 1605043965 / 1
LCM(40061,40065) = 1605043965

(i) The LCM of 40065 and 40061 is associative

LCM of 40061 and 40065 = LCM of 40065 and 40061

1. What is the LCM of 40061 and 40065?

Answer: LCM of 40061 and 40065 is 1605043965.

2. What are the Factors of 40061?

Answer: Factors of 40061 are 1, 7, 59, 97, 413, 679, 5723, 40061. There are 8 integers that are factors of 40061. The greatest factor of 40061 is 40061.

3. What are the Factors of 40065?

Answer: Factors of 40065 are 1, 3, 5, 15, 2671, 8013, 13355, 40065. There are 8 integers that are factors of 40065. The greatest factor of 40065 is 40065.

4. How to Find the LCM of 40061 and 40065?

Answer:

Least Common Multiple of 40061 and 40065 = 1605043965

Step 1: Find the prime factorization of 40061

40061 = 7 x 59 x 97

Step 2: Find the prime factorization of 40065

40065 = 3 x 5 x 2671

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

LCM = 1605043965 = 3 x 5 x 7 x 59 x 97 x 2671

Step 4: Therefore, the least common multiple of 40061 and 40065 is 1605043965.