Least Common Multiple of 39065 and 39070

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

• Least Common Multiple of 39065 and 39070 by Prime method
• Least Common Multiple of 39065 and 39070 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39065 and 39070. First we will calculate the prime factors of 39065 and 39070.

Prime Factorization of 39065

Prime factors of 39065 are 5, 13,601. Prime factorization of 39065 in exponential form is:

39065 = 5¹×13¹×601¹

Prime Factorization of 39070

Prime factors of 39070 are 2, 5,3907. Prime factorization of 39070 in exponential form is:

39070 = 2¹×5¹×3907¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39065 and 39070.

LCM(39065,39070) = 2¹×5¹×13¹×601¹×3907¹
LCM(39065,39070) = 305253910

Factors of 39065

List of positive integer factors of 39065 that divides 39065 without a remainder.

1, 5, 13, 65, 601, 3005, 7813, 39065

Factors of 39070

List of positive integer factors of 39070 that divides 39070 without a remainder.

1, 2, 5, 10, 3907, 7814, 19535, 39070

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39065 and 39070, than apply into the LCM equation.

GCF(39065,39070) = 5
LCM(39065,39070) = ( 39065 × 39070) / 5
LCM(39065,39070) = 1526269550 / 5
LCM(39065,39070) = 305253910

(i) The LCM of 39070 and 39065 is associative

LCM of 39065 and 39070 = LCM of 39070 and 39065

1. What is the LCM of 39065 and 39070?

Answer: LCM of 39065 and 39070 is 305253910.

2. What are the Factors of 39065?

Answer: Factors of 39065 are 1, 5, 13, 65, 601, 3005, 7813, 39065. There are 8 integers that are factors of 39065. The greatest factor of 39065 is 39065.

3. What are the Factors of 39070?

Answer: Factors of 39070 are 1, 2, 5, 10, 3907, 7814, 19535, 39070. There are 8 integers that are factors of 39070. The greatest factor of 39070 is 39070.

4. How to Find the LCM of 39065 and 39070?

Answer:

Least Common Multiple of 39065 and 39070 = 305253910

Step 1: Find the prime factorization of 39065

39065 = 5 x 13 x 601

Step 2: Find the prime factorization of 39070

39070 = 2 x 5 x 3907

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

LCM = 305253910 = 2 x 5 x 13 x 601 x 3907

Step 4: Therefore, the least common multiple of 39065 and 39070 is 305253910.