Least Common Multiple of 9068 and 9074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9068 and 9074 the smallest integer that is 41141516 that is divisible by both numbers.

Least Common Multiple (LCM) of 9068 and 9074 is 41141516.

LCM(9068,9074) = 41141516

LCM of 9068 and 9074

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

LCM of:
and

Least Common Multiple of 9068 and 9074

LCM of 9068 and 9074 is 41141516

Least common multiple can be found by multiplying the highest exponent prime factors of 9068 and 9074. First we will calculate the prime factors of 9068 and 9074.

Prime Factorization of 9068


2 9068
2 4534
2267 2267
1

Prime factors of 9068 are 2,2267. Prime factorization of 9068 in exponential form is:

9068 = 22×22671

Prime Factorization of 9074


2 9074
13 4537
349 349
1

Prime factors of 9074 are 2, 13,349. Prime factorization of 9074 in exponential form is:

9074 = 21×131×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9068 and 9074.

LCM(9068,9074) = 22×131×3491×22671
LCM(9068,9074) = 41141516

Factors of 9068

List of positive integer factors of 9068 that divides 9068 without a remainder.

1, 2, 4, 2267, 4534, 9068

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1, 2, 13, 26, 349, 698, 4537, 9074

Least Common Multiple of 9068 and 9074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9068 and 9074, than apply into the LCM equation.

GCF(9068,9074) = 2
LCM(9068,9074) = ( 9068 × 9074) / 2
LCM(9068,9074) = 82283032 / 2
LCM(9068,9074) = 41141516

Properties of LCM 9068 and 9074

(i) The LCM of 9074 and 9068 is associative

LCM of 9068 and 9074 = LCM of 9074 and 9068

Related Least Common Multiples of 9068

Related Least Common Multiples of 9074

Frequently Asked Questions on LCM of 9068 and 9074

1. What is the LCM of 9068 and 9074?

Answer: LCM of 9068 and 9074 is 41141516.

2. What are the Factors of 9068?

Answer: Factors of 9068 are 1, 2, 4, 2267, 4534, 9068. There are 6 integers that are factors of 9068. The greatest factor of 9068 is 9068.

3. What are the Factors of 9074?

Answer: Factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074. There are 8 integers that are factors of 9074. The greatest factor of 9074 is 9074.

4. How to Find the LCM of 9068 and 9074?

Answer:

Least Common Multiple of 9068 and 9074 = 41141516

Step 1: Find the prime factorization of 9068

9068 = 2 x 2 x 2267

Step 2: Find the prime factorization of 9074

9074 = 2 x 13 x 349

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

LCM = 41141516 = 2 x 2 x 13 x 349 x 2267

Step 4: Therefore, the least common multiple of 9068 and 9074 is 41141516.