Least Common Multiple of 7350 and 7351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7350 and 7351 the smallest integer that is 54029850 that is divisible by both numbers.

Least Common Multiple (LCM) of 7350 and 7351 is 54029850.

LCM(7350,7351) = 54029850

LCM of 7350 and 7351

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

LCM of:
and

Least Common Multiple of 7350 and 7351

LCM of 7350 and 7351 is 54029850

Least common multiple can be found by multiplying the highest exponent prime factors of 7350 and 7351. First we will calculate the prime factors of 7350 and 7351.

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

Prime Factorization of 7351


7351 7351
1

Prime factors of 7351 are 7351. Prime factorization of 7351 in exponential form is:

7351 = 73511

Now multiplying the highest exponent prime factors to calculate the LCM of 7350 and 7351.

LCM(7350,7351) = 21×31×52×72×73511
LCM(7350,7351) = 54029850

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

Factors of 7351

List of positive integer factors of 7351 that divides 7351 without a remainder.

1, 7351

Least Common Multiple of 7350 and 7351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7350 and 7351, than apply into the LCM equation.

GCF(7350,7351) = 1
LCM(7350,7351) = ( 7350 × 7351) / 1
LCM(7350,7351) = 54029850 / 1
LCM(7350,7351) = 54029850

Properties of LCM 7350 and 7351

(i) The LCM of 7351 and 7350 is associative

LCM of 7350 and 7351 = LCM of 7351 and 7350

Related Least Common Multiples of 7350

Related Least Common Multiples of 7351

Frequently Asked Questions on LCM of 7350 and 7351

1. What is the LCM of 7350 and 7351?

Answer: LCM of 7350 and 7351 is 54029850.

2. 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.

3. What are the Factors of 7351?

Answer: Factors of 7351 are 1, 7351. There are 2 integers that are factors of 7351. The greatest factor of 7351 is 7351.

4. How to Find the LCM of 7350 and 7351?

Answer:

Least Common Multiple of 7350 and 7351 = 54029850

Step 1: Find the prime factorization of 7350

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

Step 2: Find the prime factorization of 7351

7351 = 7351

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

LCM = 54029850 = 2 x 3 x 5 x 5 x 7 x 7 x 7351

Step 4: Therefore, the least common multiple of 7350 and 7351 is 54029850.