Least Common Multiple of 1538 and 1544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1538 and 1544 the smallest integer that is 1187336 that is divisible by both numbers.

Least Common Multiple (LCM) of 1538 and 1544 is 1187336.

LCM(1538,1544) = 1187336

LCM of 1538 and 1544

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

LCM of:
and

Least Common Multiple of 1538 and 1544

LCM of 1538 and 1544 is 1187336

Least common multiple can be found by multiplying the highest exponent prime factors of 1538 and 1544. First we will calculate the prime factors of 1538 and 1544.

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

Prime Factorization of 1544


2 1544
2 772
2 386
193 193
1

Prime factors of 1544 are 2,193. Prime factorization of 1544 in exponential form is:

1544 = 23×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1538 and 1544.

LCM(1538,1544) = 23×1931×7691
LCM(1538,1544) = 1187336

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1, 2, 769, 1538

Factors of 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1, 2, 4, 8, 193, 386, 772, 1544

Least Common Multiple of 1538 and 1544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1538 and 1544, than apply into the LCM equation.

GCF(1538,1544) = 2
LCM(1538,1544) = ( 1538 × 1544) / 2
LCM(1538,1544) = 2374672 / 2
LCM(1538,1544) = 1187336

Properties of LCM 1538 and 1544

(i) The LCM of 1544 and 1538 is associative

LCM of 1538 and 1544 = LCM of 1544 and 1538

Related Least Common Multiples of 1538

Related Least Common Multiples of 1544

Frequently Asked Questions on LCM of 1538 and 1544

1. What is the LCM of 1538 and 1544?

Answer: LCM of 1538 and 1544 is 1187336.

2. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

3. What are the Factors of 1544?

Answer: Factors of 1544 are 1, 2, 4, 8, 193, 386, 772, 1544. There are 8 integers that are factors of 1544. The greatest factor of 1544 is 1544.

4. How to Find the LCM of 1538 and 1544?

Answer:

Least Common Multiple of 1538 and 1544 = 1187336

Step 1: Find the prime factorization of 1538

1538 = 2 x 769

Step 2: Find the prime factorization of 1544

1544 = 2 x 2 x 2 x 193

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

LCM = 1187336 = 2 x 2 x 2 x 193 x 769

Step 4: Therefore, the least common multiple of 1538 and 1544 is 1187336.