Least Common Multiple of 7188 and 7194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7188 and 7194 the smallest integer that is 8618412 that is divisible by both numbers.

Least Common Multiple (LCM) of 7188 and 7194 is 8618412.

LCM(7188,7194) = 8618412

LCM of 7188 and 7194

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

LCM of:
and

Least Common Multiple of 7188 and 7194

LCM of 7188 and 7194 is 8618412

Least common multiple can be found by multiplying the highest exponent prime factors of 7188 and 7194. First we will calculate the prime factors of 7188 and 7194.

Prime Factorization of 7188


2 7188
2 3594
3 1797
599 599
1

Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:

7188 = 22×31×5991

Prime Factorization of 7194


2 7194
3 3597
11 1199
109 109
1

Prime factors of 7194 are 2, 3, 11,109. Prime factorization of 7194 in exponential form is:

7194 = 21×31×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7188 and 7194.

LCM(7188,7194) = 22×31×111×1091×5991
LCM(7188,7194) = 8618412

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188

Factors of 7194

List of positive integer factors of 7194 that divides 7194 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194

Least Common Multiple of 7188 and 7194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7188 and 7194, than apply into the LCM equation.

GCF(7188,7194) = 6
LCM(7188,7194) = ( 7188 × 7194) / 6
LCM(7188,7194) = 51710472 / 6
LCM(7188,7194) = 8618412

Properties of LCM 7188 and 7194

(i) The LCM of 7194 and 7188 is associative

LCM of 7188 and 7194 = LCM of 7194 and 7188

Related Least Common Multiples of 7188

Related Least Common Multiples of 7194

Frequently Asked Questions on LCM of 7188 and 7194

1. What is the LCM of 7188 and 7194?

Answer: LCM of 7188 and 7194 is 8618412.

2. What are the Factors of 7188?

Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.

3. What are the Factors of 7194?

Answer: Factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194. There are 16 integers that are factors of 7194. The greatest factor of 7194 is 7194.

4. How to Find the LCM of 7188 and 7194?

Answer:

Least Common Multiple of 7188 and 7194 = 8618412

Step 1: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

Step 2: Find the prime factorization of 7194

7194 = 2 x 3 x 11 x 109

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

LCM = 8618412 = 2 x 2 x 3 x 11 x 109 x 599

Step 4: Therefore, the least common multiple of 7188 and 7194 is 8618412.