Least Common Multiple of 8066 and 8074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8066 and 8074 the smallest integer that is 32562442 that is divisible by both numbers.

Least Common Multiple (LCM) of 8066 and 8074 is 32562442.

LCM(8066,8074) = 32562442

LCM of 8066 and 8074

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

LCM of:
and

Least Common Multiple of 8066 and 8074

LCM of 8066 and 8074 is 32562442

Least common multiple can be found by multiplying the highest exponent prime factors of 8066 and 8074. First we will calculate the prime factors of 8066 and 8074.

Prime Factorization of 8066


2 8066
37 4033
109 109
1

Prime factors of 8066 are 2, 37,109. Prime factorization of 8066 in exponential form is:

8066 = 21×371×1091

Prime Factorization of 8074


2 8074
11 4037
367 367
1

Prime factors of 8074 are 2, 11,367. Prime factorization of 8074 in exponential form is:

8074 = 21×111×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8066 and 8074.

LCM(8066,8074) = 21×111×371×1091×3671
LCM(8066,8074) = 32562442

Factors of 8066

List of positive integer factors of 8066 that divides 8066 without a remainder.

1, 2, 37, 74, 109, 218, 4033, 8066

Factors of 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1, 2, 11, 22, 367, 734, 4037, 8074

Least Common Multiple of 8066 and 8074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8066 and 8074, than apply into the LCM equation.

GCF(8066,8074) = 2
LCM(8066,8074) = ( 8066 × 8074) / 2
LCM(8066,8074) = 65124884 / 2
LCM(8066,8074) = 32562442

Properties of LCM 8066 and 8074

(i) The LCM of 8074 and 8066 is associative

LCM of 8066 and 8074 = LCM of 8074 and 8066

Related Least Common Multiples of 8066

Related Least Common Multiples of 8074

Frequently Asked Questions on LCM of 8066 and 8074

1. What is the LCM of 8066 and 8074?

Answer: LCM of 8066 and 8074 is 32562442.

2. What are the Factors of 8066?

Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.

3. What are the Factors of 8074?

Answer: Factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074. There are 8 integers that are factors of 8074. The greatest factor of 8074 is 8074.

4. How to Find the LCM of 8066 and 8074?

Answer:

Least Common Multiple of 8066 and 8074 = 32562442

Step 1: Find the prime factorization of 8066

8066 = 2 x 37 x 109

Step 2: Find the prime factorization of 8074

8074 = 2 x 11 x 367

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

LCM = 32562442 = 2 x 11 x 37 x 109 x 367

Step 4: Therefore, the least common multiple of 8066 and 8074 is 32562442.