Least Common Multiple of 7351 and 7355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7351 and 7355 the smallest integer that is 54066605 that is divisible by both numbers.

Least Common Multiple (LCM) of 7351 and 7355 is 54066605.

LCM(7351,7355) = 54066605

LCM of 7351 and 7355

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

LCM of:
and

Least Common Multiple of 7351 and 7355

LCM of 7351 and 7355 is 54066605

Least common multiple can be found by multiplying the highest exponent prime factors of 7351 and 7355. First we will calculate the prime factors of 7351 and 7355.

Prime Factorization of 7351


7351 7351
1

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

7351 = 73511

Prime Factorization of 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 7351 and 7355.

LCM(7351,7355) = 51×14711×73511
LCM(7351,7355) = 54066605

Factors of 7351

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

1, 7351

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1, 5, 1471, 7355

Least Common Multiple of 7351 and 7355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7351 and 7355, than apply into the LCM equation.

GCF(7351,7355) = 1
LCM(7351,7355) = ( 7351 × 7355) / 1
LCM(7351,7355) = 54066605 / 1
LCM(7351,7355) = 54066605

Properties of LCM 7351 and 7355

(i) The LCM of 7355 and 7351 is associative

LCM of 7351 and 7355 = LCM of 7355 and 7351

Related Least Common Multiples of 7351

Related Least Common Multiples of 7355

Frequently Asked Questions on LCM of 7351 and 7355

1. What is the LCM of 7351 and 7355?

Answer: LCM of 7351 and 7355 is 54066605.

2. 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.

3. What are the Factors of 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

4. How to Find the LCM of 7351 and 7355?

Answer:

Least Common Multiple of 7351 and 7355 = 54066605

Step 1: Find the prime factorization of 7351

7351 = 7351

Step 2: Find the prime factorization of 7355

7355 = 5 x 1471

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

LCM = 54066605 = 5 x 1471 x 7351

Step 4: Therefore, the least common multiple of 7351 and 7355 is 54066605.