Least Common Multiple of 7540 and 7546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7540 and 7546 the smallest integer that is 28448420 that is divisible by both numbers.

Least Common Multiple (LCM) of 7540 and 7546 is 28448420.

LCM(7540,7546) = 28448420

LCM of 7540 and 7546

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

LCM of:
and

Least Common Multiple of 7540 and 7546

LCM of 7540 and 7546 is 28448420

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7546. First we will calculate the prime factors of 7540 and 7546.

Prime Factorization of 7540


2 7540
2 3770
5 1885
13 377
29 29
1

Prime factors of 7540 are 2, 5, 13,29. Prime factorization of 7540 in exponential form is:

7540 = 22×51×131×291

Prime Factorization of 7546


2 7546
7 3773
7 539
7 77
11 11
1

Prime factors of 7546 are 2, 7,11. Prime factorization of 7546 in exponential form is:

7546 = 21×73×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7540 and 7546.

LCM(7540,7546) = 22×51×73×111×131×291
LCM(7540,7546) = 28448420

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546

Least Common Multiple of 7540 and 7546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7540 and 7546, than apply into the LCM equation.

GCF(7540,7546) = 2
LCM(7540,7546) = ( 7540 × 7546) / 2
LCM(7540,7546) = 56896840 / 2
LCM(7540,7546) = 28448420

Properties of LCM 7540 and 7546

(i) The LCM of 7546 and 7540 is associative

LCM of 7540 and 7546 = LCM of 7546 and 7540

Related Least Common Multiples of 7540

Related Least Common Multiples of 7546

Frequently Asked Questions on LCM of 7540 and 7546

1. What is the LCM of 7540 and 7546?

Answer: LCM of 7540 and 7546 is 28448420.

2. What are the Factors of 7540?

Answer: Factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540. There are 24 integers that are factors of 7540. The greatest factor of 7540 is 7540.

3. What are the Factors of 7546?

Answer: Factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546. There are 16 integers that are factors of 7546. The greatest factor of 7546 is 7546.

4. How to Find the LCM of 7540 and 7546?

Answer:

Least Common Multiple of 7540 and 7546 = 28448420

Step 1: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 7546

7546 = 2 x 7 x 7 x 7 x 11

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

LCM = 28448420 = 2 x 2 x 5 x 7 x 7 x 7 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 7540 and 7546 is 28448420.