Least Common Multiple of 8068 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 8068 and 8074 the smallest integer that is 32570516 that is divisible by both numbers.

Least Common Multiple (LCM) of 8068 and 8074 is 32570516.

LCM(8068,8074) = 32570516

LCM of 8068 and 8074

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

LCM of:
and

Least Common Multiple of 8068 and 8074

LCM of 8068 and 8074 is 32570516

Least common multiple can be found by multiplying the highest exponent prime factors of 8068 and 8074. First we will calculate the prime factors of 8068 and 8074.

Prime Factorization of 8068


2 8068
2 4034
2017 2017
1

Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:

8068 = 22×20171

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 8068 and 8074.

LCM(8068,8074) = 22×111×3671×20171
LCM(8068,8074) = 32570516

Factors of 8068

List of positive integer factors of 8068 that divides 8068 without a remainder.

1, 2, 4, 2017, 4034, 8068

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 8068 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 8068 and 8074, than apply into the LCM equation.

GCF(8068,8074) = 2
LCM(8068,8074) = ( 8068 × 8074) / 2
LCM(8068,8074) = 65141032 / 2
LCM(8068,8074) = 32570516

Properties of LCM 8068 and 8074

(i) The LCM of 8074 and 8068 is associative

LCM of 8068 and 8074 = LCM of 8074 and 8068

Related Least Common Multiples of 8068

Related Least Common Multiples of 8074

Frequently Asked Questions on LCM of 8068 and 8074

1. What is the LCM of 8068 and 8074?

Answer: LCM of 8068 and 8074 is 32570516.

2. What are the Factors of 8068?

Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.

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 8068 and 8074?

Answer:

Least Common Multiple of 8068 and 8074 = 32570516

Step 1: Find the prime factorization of 8068

8068 = 2 x 2 x 2017

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 = 32570516 = 2 x 2 x 11 x 367 x 2017

Step 4: Therefore, the least common multiple of 8068 and 8074 is 32570516.