Least Common Multiple of 7542 and 7549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7542 and 7549 the smallest integer that is 56934558 that is divisible by both numbers.

Least Common Multiple (LCM) of 7542 and 7549 is 56934558.

LCM(7542,7549) = 56934558

LCM of 7542 and 7549

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

LCM of:
and

Least Common Multiple of 7542 and 7549

LCM of 7542 and 7549 is 56934558

Least common multiple can be found by multiplying the highest exponent prime factors of 7542 and 7549. First we will calculate the prime factors of 7542 and 7549.

Prime Factorization of 7542


2 7542
3 3771
3 1257
419 419
1

Prime factors of 7542 are 2, 3,419. Prime factorization of 7542 in exponential form is:

7542 = 21×32×4191

Prime Factorization of 7549


7549 7549
1

Prime factors of 7549 are 7549. Prime factorization of 7549 in exponential form is:

7549 = 75491

Now multiplying the highest exponent prime factors to calculate the LCM of 7542 and 7549.

LCM(7542,7549) = 21×32×4191×75491
LCM(7542,7549) = 56934558

Factors of 7542

List of positive integer factors of 7542 that divides 7542 without a remainder.

1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542

Factors of 7549

List of positive integer factors of 7549 that divides 7549 without a remainder.

1, 7549

Least Common Multiple of 7542 and 7549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7542 and 7549, than apply into the LCM equation.

GCF(7542,7549) = 1
LCM(7542,7549) = ( 7542 × 7549) / 1
LCM(7542,7549) = 56934558 / 1
LCM(7542,7549) = 56934558

Properties of LCM 7542 and 7549

(i) The LCM of 7549 and 7542 is associative

LCM of 7542 and 7549 = LCM of 7549 and 7542

Related Least Common Multiples of 7542

Related Least Common Multiples of 7549

Frequently Asked Questions on LCM of 7542 and 7549

1. What is the LCM of 7542 and 7549?

Answer: LCM of 7542 and 7549 is 56934558.

2. What are the Factors of 7542?

Answer: Factors of 7542 are 1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542. There are 12 integers that are factors of 7542. The greatest factor of 7542 is 7542.

3. What are the Factors of 7549?

Answer: Factors of 7549 are 1, 7549. There are 2 integers that are factors of 7549. The greatest factor of 7549 is 7549.

4. How to Find the LCM of 7542 and 7549?

Answer:

Least Common Multiple of 7542 and 7549 = 56934558

Step 1: Find the prime factorization of 7542

7542 = 2 x 3 x 3 x 419

Step 2: Find the prime factorization of 7549

7549 = 7549

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

LCM = 56934558 = 2 x 3 x 3 x 419 x 7549

Step 4: Therefore, the least common multiple of 7542 and 7549 is 56934558.