Least Common Multiple of 7084 and 7092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7084 and 7092 the smallest integer that is 12559932 that is divisible by both numbers.

Least Common Multiple (LCM) of 7084 and 7092 is 12559932.

LCM(7084,7092) = 12559932

LCM of 7084 and 7092

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

LCM of:
and

Least Common Multiple of 7084 and 7092

LCM of 7084 and 7092 is 12559932

Least common multiple can be found by multiplying the highest exponent prime factors of 7084 and 7092. First we will calculate the prime factors of 7084 and 7092.

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

Prime Factorization of 7092


2 7092
2 3546
3 1773
3 591
197 197
1

Prime factors of 7092 are 2, 3,197. Prime factorization of 7092 in exponential form is:

7092 = 22×32×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7084 and 7092.

LCM(7084,7092) = 22×32×71×111×231×1971
LCM(7084,7092) = 12559932

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

Factors of 7092

List of positive integer factors of 7092 that divides 7092 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092

Least Common Multiple of 7084 and 7092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7084 and 7092, than apply into the LCM equation.

GCF(7084,7092) = 4
LCM(7084,7092) = ( 7084 × 7092) / 4
LCM(7084,7092) = 50239728 / 4
LCM(7084,7092) = 12559932

Properties of LCM 7084 and 7092

(i) The LCM of 7092 and 7084 is associative

LCM of 7084 and 7092 = LCM of 7092 and 7084

Related Least Common Multiples of 7084

Related Least Common Multiples of 7092

Frequently Asked Questions on LCM of 7084 and 7092

1. What is the LCM of 7084 and 7092?

Answer: LCM of 7084 and 7092 is 12559932.

2. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

3. What are the Factors of 7092?

Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.

4. How to Find the LCM of 7084 and 7092?

Answer:

Least Common Multiple of 7084 and 7092 = 12559932

Step 1: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 7092

7092 = 2 x 2 x 3 x 3 x 197

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

LCM = 12559932 = 2 x 2 x 3 x 3 x 7 x 11 x 23 x 197

Step 4: Therefore, the least common multiple of 7084 and 7092 is 12559932.