Least Common Multiple of 7453 and 7460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7453 and 7460 the smallest integer that is 55599380 that is divisible by both numbers.

Least Common Multiple (LCM) of 7453 and 7460 is 55599380.

LCM(7453,7460) = 55599380

LCM of 7453 and 7460

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

LCM of:
and

Least Common Multiple of 7453 and 7460

LCM of 7453 and 7460 is 55599380

Least common multiple can be found by multiplying the highest exponent prime factors of 7453 and 7460. First we will calculate the prime factors of 7453 and 7460.

Prime Factorization of 7453


29 7453
257 257
1

Prime factors of 7453 are 29,257. Prime factorization of 7453 in exponential form is:

7453 = 291×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7453 and 7460.

LCM(7453,7460) = 22×51×291×2571×3731
LCM(7453,7460) = 55599380

Factors of 7453

List of positive integer factors of 7453 that divides 7453 without a remainder.

1, 29, 257, 7453

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

Least Common Multiple of 7453 and 7460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7453 and 7460, than apply into the LCM equation.

GCF(7453,7460) = 1
LCM(7453,7460) = ( 7453 × 7460) / 1
LCM(7453,7460) = 55599380 / 1
LCM(7453,7460) = 55599380

Properties of LCM 7453 and 7460

(i) The LCM of 7460 and 7453 is associative

LCM of 7453 and 7460 = LCM of 7460 and 7453

Related Least Common Multiples of 7453

Related Least Common Multiples of 7460

Frequently Asked Questions on LCM of 7453 and 7460

1. What is the LCM of 7453 and 7460?

Answer: LCM of 7453 and 7460 is 55599380.

2. What are the Factors of 7453?

Answer: Factors of 7453 are 1, 29, 257, 7453. There are 4 integers that are factors of 7453. The greatest factor of 7453 is 7453.

3. 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.

4. How to Find the LCM of 7453 and 7460?

Answer:

Least Common Multiple of 7453 and 7460 = 55599380

Step 1: Find the prime factorization of 7453

7453 = 29 x 257

Step 2: Find the prime factorization of 7460

7460 = 2 x 2 x 5 x 373

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

LCM = 55599380 = 2 x 2 x 5 x 29 x 257 x 373

Step 4: Therefore, the least common multiple of 7453 and 7460 is 55599380.