Least Common Multiple of 7537 and 7542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7537 and 7542 the smallest integer that is 56844054 that is divisible by both numbers.

Least Common Multiple (LCM) of 7537 and 7542 is 56844054.

LCM(7537,7542) = 56844054

LCM of 7537 and 7542

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

LCM of:
and

Least Common Multiple of 7537 and 7542

LCM of 7537 and 7542 is 56844054

Least common multiple can be found by multiplying the highest exponent prime factors of 7537 and 7542. First we will calculate the prime factors of 7537 and 7542.

Prime Factorization of 7537


7537 7537
1

Prime factors of 7537 are 7537. Prime factorization of 7537 in exponential form is:

7537 = 75371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7537 and 7542.

LCM(7537,7542) = 21×32×4191×75371
LCM(7537,7542) = 56844054

Factors of 7537

List of positive integer factors of 7537 that divides 7537 without a remainder.

1, 7537

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

Least Common Multiple of 7537 and 7542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7537 and 7542, than apply into the LCM equation.

GCF(7537,7542) = 1
LCM(7537,7542) = ( 7537 × 7542) / 1
LCM(7537,7542) = 56844054 / 1
LCM(7537,7542) = 56844054

Properties of LCM 7537 and 7542

(i) The LCM of 7542 and 7537 is associative

LCM of 7537 and 7542 = LCM of 7542 and 7537

Related Least Common Multiples of 7537

Related Least Common Multiples of 7542

Frequently Asked Questions on LCM of 7537 and 7542

1. What is the LCM of 7537 and 7542?

Answer: LCM of 7537 and 7542 is 56844054.

2. What are the Factors of 7537?

Answer: Factors of 7537 are 1, 7537. There are 2 integers that are factors of 7537. The greatest factor of 7537 is 7537.

3. 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.

4. How to Find the LCM of 7537 and 7542?

Answer:

Least Common Multiple of 7537 and 7542 = 56844054

Step 1: Find the prime factorization of 7537

7537 = 7537

Step 2: Find the prime factorization of 7542

7542 = 2 x 3 x 3 x 419

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

LCM = 56844054 = 2 x 3 x 3 x 419 x 7537

Step 4: Therefore, the least common multiple of 7537 and 7542 is 56844054.