Least Common Multiple of 7368 and 7370

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 7370 the smallest integer that is 27151080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7368 and 7370 is 27151080.

LCM(7368,7370) = 27151080

LCM of 7368 and 7370

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

LCM of:
and

Least Common Multiple of 7368 and 7370

LCM of 7368 and 7370 is 27151080

Least common multiple can be found by multiplying the highest exponent prime factors of 7368 and 7370. First we will calculate the prime factors of 7368 and 7370.

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 7370


2 7370
5 3685
11 737
67 67
1

Prime factors of 7370 are 2, 5, 11,67. Prime factorization of 7370 in exponential form is:

7370 = 21×51×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7368 and 7370.

LCM(7368,7370) = 23×31×51×111×671×3071
LCM(7368,7370) = 27151080

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 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370

Least Common Multiple of 7368 and 7370 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 7370, than apply into the LCM equation.

GCF(7368,7370) = 2
LCM(7368,7370) = ( 7368 × 7370) / 2
LCM(7368,7370) = 54302160 / 2
LCM(7368,7370) = 27151080

Properties of LCM 7368 and 7370

(i) The LCM of 7370 and 7368 is associative

LCM of 7368 and 7370 = LCM of 7370 and 7368

Related Least Common Multiples of 7368

Related Least Common Multiples of 7370

Frequently Asked Questions on LCM of 7368 and 7370

1. What is the LCM of 7368 and 7370?

Answer: LCM of 7368 and 7370 is 27151080.

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 7370?

Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.

4. How to Find the LCM of 7368 and 7370?

Answer:

Least Common Multiple of 7368 and 7370 = 27151080

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 7370

7370 = 2 x 5 x 11 x 67

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

LCM = 27151080 = 2 x 2 x 2 x 3 x 5 x 11 x 67 x 307

Step 4: Therefore, the least common multiple of 7368 and 7370 is 27151080.