Least Common Multiple of 7066 and 7074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7066 and 7074 the smallest integer that is 24992442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7066 and 7074 is 24992442.

LCM(7066,7074) = 24992442

LCM of 7066 and 7074

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

LCM of:
and

Least Common Multiple of 7066 and 7074

LCM of 7066 and 7074 is 24992442

Least common multiple can be found by multiplying the highest exponent prime factors of 7066 and 7074. First we will calculate the prime factors of 7066 and 7074.

Prime Factorization of 7066


2 7066
3533 3533
1

Prime factors of 7066 are 2,3533. Prime factorization of 7066 in exponential form is:

7066 = 21×35331

Prime Factorization of 7074


2 7074
3 3537
3 1179
3 393
131 131
1

Prime factors of 7074 are 2, 3,131. Prime factorization of 7074 in exponential form is:

7074 = 21×33×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7066 and 7074.

LCM(7066,7074) = 21×33×1311×35331
LCM(7066,7074) = 24992442

Factors of 7066

List of positive integer factors of 7066 that divides 7066 without a remainder.

1, 2, 3533, 7066

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074

Least Common Multiple of 7066 and 7074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7066 and 7074, than apply into the LCM equation.

GCF(7066,7074) = 2
LCM(7066,7074) = ( 7066 × 7074) / 2
LCM(7066,7074) = 49984884 / 2
LCM(7066,7074) = 24992442

Properties of LCM 7066 and 7074

(i) The LCM of 7074 and 7066 is associative

LCM of 7066 and 7074 = LCM of 7074 and 7066

Related Least Common Multiples of 7066

Related Least Common Multiples of 7074

Frequently Asked Questions on LCM of 7066 and 7074

1. What is the LCM of 7066 and 7074?

Answer: LCM of 7066 and 7074 is 24992442.

2. What are the Factors of 7066?

Answer: Factors of 7066 are 1, 2, 3533, 7066. There are 4 integers that are factors of 7066. The greatest factor of 7066 is 7066.

3. What are the Factors of 7074?

Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.

4. How to Find the LCM of 7066 and 7074?

Answer:

Least Common Multiple of 7066 and 7074 = 24992442

Step 1: Find the prime factorization of 7066

7066 = 2 x 3533

Step 2: Find the prime factorization of 7074

7074 = 2 x 3 x 3 x 3 x 131

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

LCM = 24992442 = 2 x 3 x 3 x 3 x 131 x 3533

Step 4: Therefore, the least common multiple of 7066 and 7074 is 24992442.