Least Common Multiple of 7194 and 7196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7194 and 7196 the smallest integer that is 25884012 that is divisible by both numbers.

Least Common Multiple (LCM) of 7194 and 7196 is 25884012.

LCM(7194,7196) = 25884012

LCM of 7194 and 7196

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

LCM of:
and

Least Common Multiple of 7194 and 7196

LCM of 7194 and 7196 is 25884012

Least common multiple can be found by multiplying the highest exponent prime factors of 7194 and 7196. First we will calculate the prime factors of 7194 and 7196.

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

Prime Factorization of 7196


2 7196
2 3598
7 1799
257 257
1

Prime factors of 7196 are 2, 7,257. Prime factorization of 7196 in exponential form is:

7196 = 22×71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7194 and 7196.

LCM(7194,7196) = 22×31×71×111×1091×2571
LCM(7194,7196) = 25884012

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

Factors of 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196

Least Common Multiple of 7194 and 7196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7194 and 7196, than apply into the LCM equation.

GCF(7194,7196) = 2
LCM(7194,7196) = ( 7194 × 7196) / 2
LCM(7194,7196) = 51768024 / 2
LCM(7194,7196) = 25884012

Properties of LCM 7194 and 7196

(i) The LCM of 7196 and 7194 is associative

LCM of 7194 and 7196 = LCM of 7196 and 7194

Related Least Common Multiples of 7194

Related Least Common Multiples of 7196

Frequently Asked Questions on LCM of 7194 and 7196

1. What is the LCM of 7194 and 7196?

Answer: LCM of 7194 and 7196 is 25884012.

2. 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.

3. What are the Factors of 7196?

Answer: Factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196. There are 12 integers that are factors of 7196. The greatest factor of 7196 is 7196.

4. How to Find the LCM of 7194 and 7196?

Answer:

Least Common Multiple of 7194 and 7196 = 25884012

Step 1: Find the prime factorization of 7194

7194 = 2 x 3 x 11 x 109

Step 2: Find the prime factorization of 7196

7196 = 2 x 2 x 7 x 257

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

LCM = 25884012 = 2 x 2 x 3 x 7 x 11 x 109 x 257

Step 4: Therefore, the least common multiple of 7194 and 7196 is 25884012.