Least Common Multiple of 7374 and 7382

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 7382 the smallest integer that is 27217434 that is divisible by both numbers.

Least Common Multiple (LCM) of 7374 and 7382 is 27217434.

LCM(7374,7382) = 27217434

LCM of 7374 and 7382

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

LCM of:
and

Least Common Multiple of 7374 and 7382

LCM of 7374 and 7382 is 27217434

Least common multiple can be found by multiplying the highest exponent prime factors of 7374 and 7382. First we will calculate the prime factors of 7374 and 7382.

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 7382


2 7382
3691 3691
1

Prime factors of 7382 are 2,3691. Prime factorization of 7382 in exponential form is:

7382 = 21×36911

Now multiplying the highest exponent prime factors to calculate the LCM of 7374 and 7382.

LCM(7374,7382) = 21×31×12291×36911
LCM(7374,7382) = 27217434

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 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1, 2, 3691, 7382

Least Common Multiple of 7374 and 7382 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 7382, than apply into the LCM equation.

GCF(7374,7382) = 2
LCM(7374,7382) = ( 7374 × 7382) / 2
LCM(7374,7382) = 54434868 / 2
LCM(7374,7382) = 27217434

Properties of LCM 7374 and 7382

(i) The LCM of 7382 and 7374 is associative

LCM of 7374 and 7382 = LCM of 7382 and 7374

Related Least Common Multiples of 7374

Related Least Common Multiples of 7382

Frequently Asked Questions on LCM of 7374 and 7382

1. What is the LCM of 7374 and 7382?

Answer: LCM of 7374 and 7382 is 27217434.

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 7382?

Answer: Factors of 7382 are 1, 2, 3691, 7382. There are 4 integers that are factors of 7382. The greatest factor of 7382 is 7382.

4. How to Find the LCM of 7374 and 7382?

Answer:

Least Common Multiple of 7374 and 7382 = 27217434

Step 1: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

Step 2: Find the prime factorization of 7382

7382 = 2 x 3691

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

LCM = 27217434 = 2 x 3 x 1229 x 3691

Step 4: Therefore, the least common multiple of 7374 and 7382 is 27217434.