Least Common Multiple of 5534 and 5537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5534 and 5537 the smallest integer that is 30641758 that is divisible by both numbers.

Least Common Multiple (LCM) of 5534 and 5537 is 30641758.

LCM(5534,5537) = 30641758

LCM of 5534 and 5537

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

LCM of:
and

Least Common Multiple of 5534 and 5537

LCM of 5534 and 5537 is 30641758

Least common multiple can be found by multiplying the highest exponent prime factors of 5534 and 5537. First we will calculate the prime factors of 5534 and 5537.

Prime Factorization of 5534


2 5534
2767 2767
1

Prime factors of 5534 are 2,2767. Prime factorization of 5534 in exponential form is:

5534 = 21×27671

Prime Factorization of 5537


7 5537
7 791
113 113
1

Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:

5537 = 72×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5534 and 5537.

LCM(5534,5537) = 21×72×1131×27671
LCM(5534,5537) = 30641758

Factors of 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1, 2, 2767, 5534

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1, 7, 49, 113, 791, 5537

Least Common Multiple of 5534 and 5537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5534 and 5537, than apply into the LCM equation.

GCF(5534,5537) = 1
LCM(5534,5537) = ( 5534 × 5537) / 1
LCM(5534,5537) = 30641758 / 1
LCM(5534,5537) = 30641758

Properties of LCM 5534 and 5537

(i) The LCM of 5537 and 5534 is associative

LCM of 5534 and 5537 = LCM of 5537 and 5534

Related Least Common Multiples of 5534

Related Least Common Multiples of 5537

Frequently Asked Questions on LCM of 5534 and 5537

1. What is the LCM of 5534 and 5537?

Answer: LCM of 5534 and 5537 is 30641758.

2. What are the Factors of 5534?

Answer: Factors of 5534 are 1, 2, 2767, 5534. There are 4 integers that are factors of 5534. The greatest factor of 5534 is 5534.

3. What are the Factors of 5537?

Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.

4. How to Find the LCM of 5534 and 5537?

Answer:

Least Common Multiple of 5534 and 5537 = 30641758

Step 1: Find the prime factorization of 5534

5534 = 2 x 2767

Step 2: Find the prime factorization of 5537

5537 = 7 x 7 x 113

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

LCM = 30641758 = 2 x 7 x 7 x 113 x 2767

Step 4: Therefore, the least common multiple of 5534 and 5537 is 30641758.