Least Common Multiple of 4066 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 4066 and 4070 the smallest integer that is 8274310 that is divisible by both numbers.

Least Common Multiple (LCM) of 4066 and 4070 is 8274310.

LCM(4066,4070) = 8274310

LCM of 4066 and 4070

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

LCM of:
and

Least Common Multiple of 4066 and 4070

LCM of 4066 and 4070 is 8274310

Least common multiple can be found by multiplying the highest exponent prime factors of 4066 and 4070. First we will calculate the prime factors of 4066 and 4070.

Prime Factorization of 4066


2 4066
19 2033
107 107
1

Prime factors of 4066 are 2, 19,107. Prime factorization of 4066 in exponential form is:

4066 = 21×191×1071

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 4066 and 4070.

LCM(4066,4070) = 21×51×111×191×371×1071
LCM(4066,4070) = 8274310

Factors of 4066

List of positive integer factors of 4066 that divides 4066 without a remainder.

1, 2, 19, 38, 107, 214, 2033, 4066

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 4066 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 4066 and 4070, than apply into the LCM equation.

GCF(4066,4070) = 2
LCM(4066,4070) = ( 4066 × 4070) / 2
LCM(4066,4070) = 16548620 / 2
LCM(4066,4070) = 8274310

Properties of LCM 4066 and 4070

(i) The LCM of 4070 and 4066 is associative

LCM of 4066 and 4070 = LCM of 4070 and 4066

Related Least Common Multiples of 4066

Related Least Common Multiples of 4070

Frequently Asked Questions on LCM of 4066 and 4070

1. What is the LCM of 4066 and 4070?

Answer: LCM of 4066 and 4070 is 8274310.

2. What are the Factors of 4066?

Answer: Factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066. There are 8 integers that are factors of 4066. The greatest factor of 4066 is 4066.

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 4066 and 4070?

Answer:

Least Common Multiple of 4066 and 4070 = 8274310

Step 1: Find the prime factorization of 4066

4066 = 2 x 19 x 107

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 = 8274310 = 2 x 5 x 11 x 19 x 37 x 107

Step 4: Therefore, the least common multiple of 4066 and 4070 is 8274310.