Least Common Multiple of 4065 and 4070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4065 and 4070 the smallest integer that is 3308910 that is divisible by both numbers.

Least Common Multiple (LCM) of 4065 and 4070 is 3308910.

LCM(4065,4070) = 3308910

LCM of 4065 and 4070

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

LCM of:
and

Least Common Multiple of 4065 and 4070

LCM of 4065 and 4070 is 3308910

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4070. First we will calculate the prime factors of 4065 and 4070.

Prime Factorization of 4065


3 4065
5 1355
271 271
1

Prime factors of 4065 are 3, 5,271. Prime factorization of 4065 in exponential form is:

4065 = 31×51×2711

Prime Factorization of 4070


2 4070
5 2035
11 407
37 37
1

Prime factors of 4070 are 2, 5, 11,37. Prime factorization of 4070 in exponential form is:

4070 = 21×51×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4070.

LCM(4065,4070) = 21×31×51×111×371×2711
LCM(4065,4070) = 3308910

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1, 3, 5, 15, 271, 813, 1355, 4065

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070

Least Common Multiple of 4065 and 4070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4065 and 4070, than apply into the LCM equation.

GCF(4065,4070) = 5
LCM(4065,4070) = ( 4065 × 4070) / 5
LCM(4065,4070) = 16544550 / 5
LCM(4065,4070) = 3308910

Properties of LCM 4065 and 4070

(i) The LCM of 4070 and 4065 is associative

LCM of 4065 and 4070 = LCM of 4070 and 4065

Related Least Common Multiples of 4065

Related Least Common Multiples of 4070

Frequently Asked Questions on LCM of 4065 and 4070

1. What is the LCM of 4065 and 4070?

Answer: LCM of 4065 and 4070 is 3308910.

2. What are the Factors of 4065?

Answer: Factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065. There are 8 integers that are factors of 4065. The greatest factor of 4065 is 4065.

3. What are the Factors of 4070?

Answer: Factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070. There are 16 integers that are factors of 4070. The greatest factor of 4070 is 4070.

4. How to Find the LCM of 4065 and 4070?

Answer:

Least Common Multiple of 4065 and 4070 = 3308910

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

Step 2: Find the prime factorization of 4070

4070 = 2 x 5 x 11 x 37

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

LCM = 3308910 = 2 x 3 x 5 x 11 x 37 x 271

Step 4: Therefore, the least common multiple of 4065 and 4070 is 3308910.