Least Common Multiple of 7457 and 7465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7457 and 7465 the smallest integer that is 55666505 that is divisible by both numbers.

Least Common Multiple (LCM) of 7457 and 7465 is 55666505.

LCM(7457,7465) = 55666505

LCM of 7457 and 7465

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

LCM of:
and

Least Common Multiple of 7457 and 7465

LCM of 7457 and 7465 is 55666505

Least common multiple can be found by multiplying the highest exponent prime factors of 7457 and 7465. First we will calculate the prime factors of 7457 and 7465.

Prime Factorization of 7457


7457 7457
1

Prime factors of 7457 are 7457. Prime factorization of 7457 in exponential form is:

7457 = 74571

Prime Factorization of 7465


5 7465
1493 1493
1

Prime factors of 7465 are 5,1493. Prime factorization of 7465 in exponential form is:

7465 = 51×14931

Now multiplying the highest exponent prime factors to calculate the LCM of 7457 and 7465.

LCM(7457,7465) = 51×14931×74571
LCM(7457,7465) = 55666505

Factors of 7457

List of positive integer factors of 7457 that divides 7457 without a remainder.

1, 7457

Factors of 7465

List of positive integer factors of 7465 that divides 7465 without a remainder.

1, 5, 1493, 7465

Least Common Multiple of 7457 and 7465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7457 and 7465, than apply into the LCM equation.

GCF(7457,7465) = 1
LCM(7457,7465) = ( 7457 × 7465) / 1
LCM(7457,7465) = 55666505 / 1
LCM(7457,7465) = 55666505

Properties of LCM 7457 and 7465

(i) The LCM of 7465 and 7457 is associative

LCM of 7457 and 7465 = LCM of 7465 and 7457

Related Least Common Multiples of 7457

Related Least Common Multiples of 7465

Frequently Asked Questions on LCM of 7457 and 7465

1. What is the LCM of 7457 and 7465?

Answer: LCM of 7457 and 7465 is 55666505.

2. What are the Factors of 7457?

Answer: Factors of 7457 are 1, 7457. There are 2 integers that are factors of 7457. The greatest factor of 7457 is 7457.

3. What are the Factors of 7465?

Answer: Factors of 7465 are 1, 5, 1493, 7465. There are 4 integers that are factors of 7465. The greatest factor of 7465 is 7465.

4. How to Find the LCM of 7457 and 7465?

Answer:

Least Common Multiple of 7457 and 7465 = 55666505

Step 1: Find the prime factorization of 7457

7457 = 7457

Step 2: Find the prime factorization of 7465

7465 = 5 x 1493

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

LCM = 55666505 = 5 x 1493 x 7457

Step 4: Therefore, the least common multiple of 7457 and 7465 is 55666505.