Least Common Multiple of 7332 and 7340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7332 and 7340 the smallest integer that is 13454220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7340 is 13454220.

LCM(7332,7340) = 13454220

LCM of 7332 and 7340

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

LCM of:
and

Least Common Multiple of 7332 and 7340

LCM of 7332 and 7340 is 13454220

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7340. First we will calculate the prime factors of 7332 and 7340.

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2, 3, 13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

Prime Factorization of 7340


2 7340
2 3670
5 1835
367 367
1

Prime factors of 7340 are 2, 5,367. Prime factorization of 7340 in exponential form is:

7340 = 22×51×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7340.

LCM(7332,7340) = 22×31×51×131×471×3671
LCM(7332,7340) = 13454220

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332

Factors of 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

Least Common Multiple of 7332 and 7340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7332 and 7340, than apply into the LCM equation.

GCF(7332,7340) = 4
LCM(7332,7340) = ( 7332 × 7340) / 4
LCM(7332,7340) = 53816880 / 4
LCM(7332,7340) = 13454220

Properties of LCM 7332 and 7340

(i) The LCM of 7340 and 7332 is associative

LCM of 7332 and 7340 = LCM of 7340 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7340

Frequently Asked Questions on LCM of 7332 and 7340

1. What is the LCM of 7332 and 7340?

Answer: LCM of 7332 and 7340 is 13454220.

2. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

3. What are the Factors of 7340?

Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.

4. How to Find the LCM of 7332 and 7340?

Answer:

Least Common Multiple of 7332 and 7340 = 13454220

Step 1: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

Step 2: Find the prime factorization of 7340

7340 = 2 x 2 x 5 x 367

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

LCM = 13454220 = 2 x 2 x 3 x 5 x 13 x 47 x 367

Step 4: Therefore, the least common multiple of 7332 and 7340 is 13454220.