Least Common Multiple of 7189 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 7189 and 7194 the smallest integer that is 51717666 that is divisible by both numbers.

Least Common Multiple (LCM) of 7189 and 7194 is 51717666.

LCM(7189,7194) = 51717666

LCM of 7189 and 7194

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

LCM of:
and

Least Common Multiple of 7189 and 7194

LCM of 7189 and 7194 is 51717666

Least common multiple can be found by multiplying the highest exponent prime factors of 7189 and 7194. First we will calculate the prime factors of 7189 and 7194.

Prime Factorization of 7189


7 7189
13 1027
79 79
1

Prime factors of 7189 are 7, 13,79. Prime factorization of 7189 in exponential form is:

7189 = 71×131×791

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 7189 and 7194.

LCM(7189,7194) = 21×31×71×111×131×791×1091
LCM(7189,7194) = 51717666

Factors of 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1, 7, 13, 79, 91, 553, 1027, 7189

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 7189 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 7189 and 7194, than apply into the LCM equation.

GCF(7189,7194) = 1
LCM(7189,7194) = ( 7189 × 7194) / 1
LCM(7189,7194) = 51717666 / 1
LCM(7189,7194) = 51717666

Properties of LCM 7189 and 7194

(i) The LCM of 7194 and 7189 is associative

LCM of 7189 and 7194 = LCM of 7194 and 7189

Related Least Common Multiples of 7189

Related Least Common Multiples of 7194

Frequently Asked Questions on LCM of 7189 and 7194

1. What is the LCM of 7189 and 7194?

Answer: LCM of 7189 and 7194 is 51717666.

2. What are the Factors of 7189?

Answer: Factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189. There are 8 integers that are factors of 7189. The greatest factor of 7189 is 7189.

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 7189 and 7194?

Answer:

Least Common Multiple of 7189 and 7194 = 51717666

Step 1: Find the prime factorization of 7189

7189 = 7 x 13 x 79

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 = 51717666 = 2 x 3 x 7 x 11 x 13 x 79 x 109

Step 4: Therefore, the least common multiple of 7189 and 7194 is 51717666.