Least Common Multiple of 7374 and 7378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7374 and 7378 the smallest integer that is 27202686 that is divisible by both numbers.

Least Common Multiple (LCM) of 7374 and 7378 is 27202686.

LCM(7374,7378) = 27202686

LCM of 7374 and 7378

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

LCM of:
and

Least Common Multiple of 7374 and 7378

LCM of 7374 and 7378 is 27202686

Least common multiple can be found by multiplying the highest exponent prime factors of 7374 and 7378. First we will calculate the prime factors of 7374 and 7378.

Prime Factorization of 7374


2 7374
3 3687
1229 1229
1

Prime factors of 7374 are 2, 3,1229. Prime factorization of 7374 in exponential form is:

7374 = 21×31×12291

Prime Factorization of 7378


2 7378
7 3689
17 527
31 31
1

Prime factors of 7378 are 2, 7, 17,31. Prime factorization of 7378 in exponential form is:

7378 = 21×71×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7374 and 7378.

LCM(7374,7378) = 21×31×71×171×311×12291
LCM(7374,7378) = 27202686

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1, 2, 3, 6, 1229, 2458, 3687, 7374

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378

Least Common Multiple of 7374 and 7378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7374 and 7378, than apply into the LCM equation.

GCF(7374,7378) = 2
LCM(7374,7378) = ( 7374 × 7378) / 2
LCM(7374,7378) = 54405372 / 2
LCM(7374,7378) = 27202686

Properties of LCM 7374 and 7378

(i) The LCM of 7378 and 7374 is associative

LCM of 7374 and 7378 = LCM of 7378 and 7374

Related Least Common Multiples of 7374

Related Least Common Multiples of 7378

Frequently Asked Questions on LCM of 7374 and 7378

1. What is the LCM of 7374 and 7378?

Answer: LCM of 7374 and 7378 is 27202686.

2. What are the Factors of 7374?

Answer: Factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374. There are 8 integers that are factors of 7374. The greatest factor of 7374 is 7374.

3. What are the Factors of 7378?

Answer: Factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378. There are 16 integers that are factors of 7378. The greatest factor of 7378 is 7378.

4. How to Find the LCM of 7374 and 7378?

Answer:

Least Common Multiple of 7374 and 7378 = 27202686

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

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

LCM = 27202686 = 2 x 3 x 7 x 17 x 31 x 1229

Step 4: Therefore, the least common multiple of 7374 and 7378 is 27202686.