Least Common Multiple of 536 and 544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 536 and 544 the smallest integer that is 36448 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 544 is 36448.

LCM(536,544) = 36448

LCM of 536 and 544

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

LCM of:
and

Least Common Multiple of 536 and 544

LCM of 536 and 544 is 36448

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 544. First we will calculate the prime factors of 536 and 544.

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 544.

LCM(536,544) = 25×171×671
LCM(536,544) = 36448

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Least Common Multiple of 536 and 544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 536 and 544, than apply into the LCM equation.

GCF(536,544) = 8
LCM(536,544) = ( 536 × 544) / 8
LCM(536,544) = 291584 / 8
LCM(536,544) = 36448

Properties of LCM 536 and 544

(i) The LCM of 544 and 536 is associative

LCM of 536 and 544 = LCM of 544 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 536 and 544

1. What is the LCM of 536 and 544?

Answer: LCM of 536 and 544 is 36448.

2. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

3. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the LCM of 536 and 544?

Answer:

Least Common Multiple of 536 and 544 = 36448

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 36448 = 2 x 2 x 2 x 2 x 2 x 17 x 67

Step 4: Therefore, the least common multiple of 536 and 544 is 36448.