Least Common Multiple of 8069 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 8069 and 8074 the smallest integer that is 65149106 that is divisible by both numbers.

Least Common Multiple (LCM) of 8069 and 8074 is 65149106.

LCM(8069,8074) = 65149106

LCM of 8069 and 8074

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

LCM of:
and

Least Common Multiple of 8069 and 8074

LCM of 8069 and 8074 is 65149106

Least common multiple can be found by multiplying the highest exponent prime factors of 8069 and 8074. First we will calculate the prime factors of 8069 and 8074.

Prime Factorization of 8069


8069 8069
1

Prime factors of 8069 are 8069. Prime factorization of 8069 in exponential form is:

8069 = 80691

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 8069 and 8074.

LCM(8069,8074) = 21×111×3671×80691
LCM(8069,8074) = 65149106

Factors of 8069

List of positive integer factors of 8069 that divides 8069 without a remainder.

1, 8069

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 8069 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 8069 and 8074, than apply into the LCM equation.

GCF(8069,8074) = 1
LCM(8069,8074) = ( 8069 × 8074) / 1
LCM(8069,8074) = 65149106 / 1
LCM(8069,8074) = 65149106

Properties of LCM 8069 and 8074

(i) The LCM of 8074 and 8069 is associative

LCM of 8069 and 8074 = LCM of 8074 and 8069

Related Least Common Multiples of 8069

Related Least Common Multiples of 8074

Frequently Asked Questions on LCM of 8069 and 8074

1. What is the LCM of 8069 and 8074?

Answer: LCM of 8069 and 8074 is 65149106.

2. What are the Factors of 8069?

Answer: Factors of 8069 are 1, 8069. There are 2 integers that are factors of 8069. The greatest factor of 8069 is 8069.

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 8069 and 8074?

Answer:

Least Common Multiple of 8069 and 8074 = 65149106

Step 1: Find the prime factorization of 8069

8069 = 8069

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 = 65149106 = 2 x 11 x 367 x 8069

Step 4: Therefore, the least common multiple of 8069 and 8074 is 65149106.