Least Common Multiple of 7460 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 7460 and 7465 the smallest integer that is 11137780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7460 and 7465 is 11137780.

LCM(7460,7465) = 11137780

LCM of 7460 and 7465

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

LCM of:
and

Least Common Multiple of 7460 and 7465

LCM of 7460 and 7465 is 11137780

Least common multiple can be found by multiplying the highest exponent prime factors of 7460 and 7465. First we will calculate the prime factors of 7460 and 7465.

Prime Factorization of 7460


2 7460
2 3730
5 1865
373 373
1

Prime factors of 7460 are 2, 5,373. Prime factorization of 7460 in exponential form is:

7460 = 22×51×3731

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 7460 and 7465.

LCM(7460,7465) = 22×51×3731×14931
LCM(7460,7465) = 11137780

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460

Factors of 7465

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

1, 5, 1493, 7465

Least Common Multiple of 7460 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 7460 and 7465, than apply into the LCM equation.

GCF(7460,7465) = 5
LCM(7460,7465) = ( 7460 × 7465) / 5
LCM(7460,7465) = 55688900 / 5
LCM(7460,7465) = 11137780

Properties of LCM 7460 and 7465

(i) The LCM of 7465 and 7460 is associative

LCM of 7460 and 7465 = LCM of 7465 and 7460

Related Least Common Multiples of 7460

Related Least Common Multiples of 7465

Frequently Asked Questions on LCM of 7460 and 7465

1. What is the LCM of 7460 and 7465?

Answer: LCM of 7460 and 7465 is 11137780.

2. What are the Factors of 7460?

Answer: Factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460. There are 12 integers that are factors of 7460. The greatest factor of 7460 is 7460.

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 7460 and 7465?

Answer:

Least Common Multiple of 7460 and 7465 = 11137780

Step 1: Find the prime factorization of 7460

7460 = 2 x 2 x 5 x 373

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 = 11137780 = 2 x 2 x 5 x 373 x 1493

Step 4: Therefore, the least common multiple of 7460 and 7465 is 11137780.