Least Common Multiple of 1540 and 1543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1540 and 1543 the smallest integer that is 2376220 that is divisible by both numbers.

Least Common Multiple (LCM) of 1540 and 1543 is 2376220.

LCM(1540,1543) = 2376220

LCM of 1540 and 1543

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

LCM of:
and

Least Common Multiple of 1540 and 1543

LCM of 1540 and 1543 is 2376220

Least common multiple can be found by multiplying the highest exponent prime factors of 1540 and 1543. First we will calculate the prime factors of 1540 and 1543.

Prime Factorization of 1540


2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 1540 are 2, 5, 7,11. Prime factorization of 1540 in exponential form is:

1540 = 22×51×71×111

Prime Factorization of 1543


1543 1543
1

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 1540 and 1543.

LCM(1540,1543) = 22×51×71×111×15431
LCM(1540,1543) = 2376220

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1, 1543

Least Common Multiple of 1540 and 1543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1540 and 1543, than apply into the LCM equation.

GCF(1540,1543) = 1
LCM(1540,1543) = ( 1540 × 1543) / 1
LCM(1540,1543) = 2376220 / 1
LCM(1540,1543) = 2376220

Properties of LCM 1540 and 1543

(i) The LCM of 1543 and 1540 is associative

LCM of 1540 and 1543 = LCM of 1543 and 1540

Related Least Common Multiples of 1540

Related Least Common Multiples of 1543

Frequently Asked Questions on LCM of 1540 and 1543

1. What is the LCM of 1540 and 1543?

Answer: LCM of 1540 and 1543 is 2376220.

2. What are the Factors of 1540?

Answer: Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. There are 24 integers that are factors of 1540. The greatest factor of 1540 is 1540.

3. What are the Factors of 1543?

Answer: Factors of 1543 are 1, 1543. There are 2 integers that are factors of 1543. The greatest factor of 1543 is 1543.

4. How to Find the LCM of 1540 and 1543?

Answer:

Least Common Multiple of 1540 and 1543 = 2376220

Step 1: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 1543

1543 = 1543

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

LCM = 2376220 = 2 x 2 x 5 x 7 x 11 x 1543

Step 4: Therefore, the least common multiple of 1540 and 1543 is 2376220.