Least Common Multiple of 7374 and 7381

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 7381 the smallest integer that is 54427494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7374 and 7381 is 54427494.

LCM(7374,7381) = 54427494

LCM of 7374 and 7381

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

LCM of:
and

Least Common Multiple of 7374 and 7381

LCM of 7374 and 7381 is 54427494

Least common multiple can be found by multiplying the highest exponent prime factors of 7374 and 7381. First we will calculate the prime factors of 7374 and 7381.

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 7381


11 7381
11 671
61 61
1

Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:

7381 = 112×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7374 and 7381.

LCM(7374,7381) = 21×31×112×611×12291
LCM(7374,7381) = 54427494

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 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1, 11, 61, 121, 671, 7381

Least Common Multiple of 7374 and 7381 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 7381, than apply into the LCM equation.

GCF(7374,7381) = 1
LCM(7374,7381) = ( 7374 × 7381) / 1
LCM(7374,7381) = 54427494 / 1
LCM(7374,7381) = 54427494

Properties of LCM 7374 and 7381

(i) The LCM of 7381 and 7374 is associative

LCM of 7374 and 7381 = LCM of 7381 and 7374

Related Least Common Multiples of 7374

Related Least Common Multiples of 7381

Frequently Asked Questions on LCM of 7374 and 7381

1. What is the LCM of 7374 and 7381?

Answer: LCM of 7374 and 7381 is 54427494.

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 7381?

Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.

4. How to Find the LCM of 7374 and 7381?

Answer:

Least Common Multiple of 7374 and 7381 = 54427494

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7381

7381 = 11 x 11 x 61

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

LCM = 54427494 = 2 x 3 x 11 x 11 x 61 x 1229

Step 4: Therefore, the least common multiple of 7374 and 7381 is 54427494.