Least Common Multiple of 7368 and 7373

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 7373 the smallest integer that is 54324264 that is divisible by both numbers.

Least Common Multiple (LCM) of 7368 and 7373 is 54324264.

LCM(7368,7373) = 54324264

LCM of 7368 and 7373

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

LCM of:
and

Least Common Multiple of 7368 and 7373

LCM of 7368 and 7373 is 54324264

Least common multiple can be found by multiplying the highest exponent prime factors of 7368 and 7373. First we will calculate the prime factors of 7368 and 7373.

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 7373


73 7373
101 101
1

Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:

7373 = 731×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7368 and 7373.

LCM(7368,7373) = 23×31×731×1011×3071
LCM(7368,7373) = 54324264

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 7373

List of positive integer factors of 7373 that divides 7373 without a remainder.

1, 73, 101, 7373

Least Common Multiple of 7368 and 7373 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 7373, than apply into the LCM equation.

GCF(7368,7373) = 1
LCM(7368,7373) = ( 7368 × 7373) / 1
LCM(7368,7373) = 54324264 / 1
LCM(7368,7373) = 54324264

Properties of LCM 7368 and 7373

(i) The LCM of 7373 and 7368 is associative

LCM of 7368 and 7373 = LCM of 7373 and 7368

Related Least Common Multiples of 7368

Related Least Common Multiples of 7373

Frequently Asked Questions on LCM of 7368 and 7373

1. What is the LCM of 7368 and 7373?

Answer: LCM of 7368 and 7373 is 54324264.

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 7373?

Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.

4. How to Find the LCM of 7368 and 7373?

Answer:

Least Common Multiple of 7368 and 7373 = 54324264

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 7373

7373 = 73 x 101

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

LCM = 54324264 = 2 x 2 x 2 x 3 x 73 x 101 x 307

Step 4: Therefore, the least common multiple of 7368 and 7373 is 54324264.