Least Common Multiple of 5537 and 5544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5537 and 5544 the smallest integer that is 4385304 that is divisible by both numbers.

Least Common Multiple (LCM) of 5537 and 5544 is 4385304.

LCM(5537,5544) = 4385304

LCM of 5537 and 5544

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

LCM of:
and

Least Common Multiple of 5537 and 5544

LCM of 5537 and 5544 is 4385304

Least common multiple can be found by multiplying the highest exponent prime factors of 5537 and 5544. First we will calculate the prime factors of 5537 and 5544.

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

Prime Factorization of 5544


2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 5544 are 2, 3, 7,11. Prime factorization of 5544 in exponential form is:

5544 = 23×32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5537 and 5544.

LCM(5537,5544) = 23×32×72×111×1131
LCM(5537,5544) = 4385304

Factors of 5537

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

1, 7, 49, 113, 791, 5537

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544

Least Common Multiple of 5537 and 5544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5537 and 5544, than apply into the LCM equation.

GCF(5537,5544) = 7
LCM(5537,5544) = ( 5537 × 5544) / 7
LCM(5537,5544) = 30697128 / 7
LCM(5537,5544) = 4385304

Properties of LCM 5537 and 5544

(i) The LCM of 5544 and 5537 is associative

LCM of 5537 and 5544 = LCM of 5544 and 5537

Related Least Common Multiples of 5537

Related Least Common Multiples of 5544

Frequently Asked Questions on LCM of 5537 and 5544

1. What is the LCM of 5537 and 5544?

Answer: LCM of 5537 and 5544 is 4385304.

2. 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.

3. What are the Factors of 5544?

Answer: Factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544. There are 48 integers that are factors of 5544. The greatest factor of 5544 is 5544.

4. How to Find the LCM of 5537 and 5544?

Answer:

Least Common Multiple of 5537 and 5544 = 4385304

Step 1: Find the prime factorization of 5537

5537 = 7 x 7 x 113

Step 2: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 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 = 4385304 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 5537 and 5544 is 4385304.