Least Common Multiple of 7364 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 7364 and 7370 the smallest integer that is 27136340 that is divisible by both numbers.

Least Common Multiple (LCM) of 7364 and 7370 is 27136340.

LCM(7364,7370) = 27136340

LCM of 7364 and 7370

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

LCM of:
and

Least Common Multiple of 7364 and 7370

LCM of 7364 and 7370 is 27136340

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7370. First we will calculate the prime factors of 7364 and 7370.

Prime Factorization of 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

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 7364 and 7370.

LCM(7364,7370) = 22×51×71×111×671×2631
LCM(7364,7370) = 27136340

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364

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 7364 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 7364 and 7370, than apply into the LCM equation.

GCF(7364,7370) = 2
LCM(7364,7370) = ( 7364 × 7370) / 2
LCM(7364,7370) = 54272680 / 2
LCM(7364,7370) = 27136340

Properties of LCM 7364 and 7370

(i) The LCM of 7370 and 7364 is associative

LCM of 7364 and 7370 = LCM of 7370 and 7364

Related Least Common Multiples of 7364

Related Least Common Multiples of 7370

Frequently Asked Questions on LCM of 7364 and 7370

1. What is the LCM of 7364 and 7370?

Answer: LCM of 7364 and 7370 is 27136340.

2. What are the Factors of 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

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 7364 and 7370?

Answer:

Least Common Multiple of 7364 and 7370 = 27136340

Step 1: Find the prime factorization of 7364

7364 = 2 x 2 x 7 x 263

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 = 27136340 = 2 x 2 x 5 x 7 x 11 x 67 x 263

Step 4: Therefore, the least common multiple of 7364 and 7370 is 27136340.