Least Common Multiple of 7378 and 7386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7378 and 7386 the smallest integer that is 27246954 that is divisible by both numbers.

Least Common Multiple (LCM) of 7378 and 7386 is 27246954.

LCM(7378,7386) = 27246954

LCM of 7378 and 7386

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

LCM of:
and

Least Common Multiple of 7378 and 7386

LCM of 7378 and 7386 is 27246954

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7386. First we will calculate the prime factors of 7378 and 7386.

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

Prime Factorization of 7386


2 7386
3 3693
1231 1231
1

Prime factors of 7386 are 2, 3,1231. Prime factorization of 7386 in exponential form is:

7386 = 21×31×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7386.

LCM(7378,7386) = 21×31×71×171×311×12311
LCM(7378,7386) = 27246954

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

Factors of 7386

List of positive integer factors of 7386 that divides 7386 without a remainder.

1, 2, 3, 6, 1231, 2462, 3693, 7386

Least Common Multiple of 7378 and 7386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7378 and 7386, than apply into the LCM equation.

GCF(7378,7386) = 2
LCM(7378,7386) = ( 7378 × 7386) / 2
LCM(7378,7386) = 54493908 / 2
LCM(7378,7386) = 27246954

Properties of LCM 7378 and 7386

(i) The LCM of 7386 and 7378 is associative

LCM of 7378 and 7386 = LCM of 7386 and 7378

Related Least Common Multiples of 7378

Related Least Common Multiples of 7386

Frequently Asked Questions on LCM of 7378 and 7386

1. What is the LCM of 7378 and 7386?

Answer: LCM of 7378 and 7386 is 27246954.

2. 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.

3. What are the Factors of 7386?

Answer: Factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386. There are 8 integers that are factors of 7386. The greatest factor of 7386 is 7386.

4. How to Find the LCM of 7378 and 7386?

Answer:

Least Common Multiple of 7378 and 7386 = 27246954

Step 1: Find the prime factorization of 7378

7378 = 2 x 7 x 17 x 31

Step 2: Find the prime factorization of 7386

7386 = 2 x 3 x 1231

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

LCM = 27246954 = 2 x 3 x 7 x 17 x 31 x 1231

Step 4: Therefore, the least common multiple of 7378 and 7386 is 27246954.