Least Common Multiple of 7368 and 7374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7368 and 7374 the smallest integer that is 9055272 that is divisible by both numbers.

Least Common Multiple (LCM) of 7368 and 7374 is 9055272.

LCM(7368,7374) = 9055272

LCM of 7368 and 7374

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

LCM of:
and

Least Common Multiple of 7368 and 7374

LCM of 7368 and 7374 is 9055272

Least common multiple can be found by multiplying the highest exponent prime factors of 7368 and 7374. First we will calculate the prime factors of 7368 and 7374.

Prime Factorization of 7368


2 7368
2 3684
2 1842
3 921
307 307
1

Prime factors of 7368 are 2, 3,307. Prime factorization of 7368 in exponential form is:

7368 = 23×31×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7368 and 7374.

LCM(7368,7374) = 23×31×3071×12291
LCM(7368,7374) = 9055272

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368

Factors of 7374

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

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

Least Common Multiple of 7368 and 7374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7368 and 7374, than apply into the LCM equation.

GCF(7368,7374) = 6
LCM(7368,7374) = ( 7368 × 7374) / 6
LCM(7368,7374) = 54331632 / 6
LCM(7368,7374) = 9055272

Properties of LCM 7368 and 7374

(i) The LCM of 7374 and 7368 is associative

LCM of 7368 and 7374 = LCM of 7374 and 7368

Related Least Common Multiples of 7368

Related Least Common Multiples of 7374

Frequently Asked Questions on LCM of 7368 and 7374

1. What is the LCM of 7368 and 7374?

Answer: LCM of 7368 and 7374 is 9055272.

2. What are the Factors of 7368?

Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.

3. 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.

4. How to Find the LCM of 7368 and 7374?

Answer:

Least Common Multiple of 7368 and 7374 = 9055272

Step 1: Find the prime factorization of 7368

7368 = 2 x 2 x 2 x 3 x 307

Step 2: Find the prime factorization of 7374

7374 = 2 x 3 x 1229

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

LCM = 9055272 = 2 x 2 x 2 x 3 x 307 x 1229

Step 4: Therefore, the least common multiple of 7368 and 7374 is 9055272.