Least Common Multiple of 7343 and 7350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7343 and 7350 the smallest integer that is 7710150 that is divisible by both numbers.

Least Common Multiple (LCM) of 7343 and 7350 is 7710150.

LCM(7343,7350) = 7710150

LCM of 7343 and 7350

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

LCM of:
and

Least Common Multiple of 7343 and 7350

LCM of 7343 and 7350 is 7710150

Least common multiple can be found by multiplying the highest exponent prime factors of 7343 and 7350. First we will calculate the prime factors of 7343 and 7350.

Prime Factorization of 7343


7 7343
1049 1049
1

Prime factors of 7343 are 7,1049. Prime factorization of 7343 in exponential form is:

7343 = 71×10491

Prime Factorization of 7350


2 7350
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 7350 are 2, 3, 5,7. Prime factorization of 7350 in exponential form is:

7350 = 21×31×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 7343 and 7350.

LCM(7343,7350) = 21×31×52×72×10491
LCM(7343,7350) = 7710150

Factors of 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1, 7, 1049, 7343

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350

Least Common Multiple of 7343 and 7350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7343 and 7350, than apply into the LCM equation.

GCF(7343,7350) = 7
LCM(7343,7350) = ( 7343 × 7350) / 7
LCM(7343,7350) = 53971050 / 7
LCM(7343,7350) = 7710150

Properties of LCM 7343 and 7350

(i) The LCM of 7350 and 7343 is associative

LCM of 7343 and 7350 = LCM of 7350 and 7343

Related Least Common Multiples of 7343

Related Least Common Multiples of 7350

Frequently Asked Questions on LCM of 7343 and 7350

1. What is the LCM of 7343 and 7350?

Answer: LCM of 7343 and 7350 is 7710150.

2. What are the Factors of 7343?

Answer: Factors of 7343 are 1, 7, 1049, 7343. There are 4 integers that are factors of 7343. The greatest factor of 7343 is 7343.

3. What are the Factors of 7350?

Answer: Factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350. There are 36 integers that are factors of 7350. The greatest factor of 7350 is 7350.

4. How to Find the LCM of 7343 and 7350?

Answer:

Least Common Multiple of 7343 and 7350 = 7710150

Step 1: Find the prime factorization of 7343

7343 = 7 x 1049

Step 2: Find the prime factorization of 7350

7350 = 2 x 3 x 5 x 5 x 7 x 7

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

LCM = 7710150 = 2 x 3 x 5 x 5 x 7 x 7 x 1049

Step 4: Therefore, the least common multiple of 7343 and 7350 is 7710150.