Least Common Multiple of 1534 and 1540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1534 and 1540 the smallest integer that is 1181180 that is divisible by both numbers.

Least Common Multiple (LCM) of 1534 and 1540 is 1181180.

LCM(1534,1540) = 1181180

LCM of 1534 and 1540

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

LCM of:
and

Least Common Multiple of 1534 and 1540

LCM of 1534 and 1540 is 1181180

Least common multiple can be found by multiplying the highest exponent prime factors of 1534 and 1540. First we will calculate the prime factors of 1534 and 1540.

Prime Factorization of 1534


2 1534
13 767
59 59
1

Prime factors of 1534 are 2, 13,59. Prime factorization of 1534 in exponential form is:

1534 = 21×131×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1534 and 1540.

LCM(1534,1540) = 22×51×71×111×131×591
LCM(1534,1540) = 1181180

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534

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

Least Common Multiple of 1534 and 1540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1534 and 1540, than apply into the LCM equation.

GCF(1534,1540) = 2
LCM(1534,1540) = ( 1534 × 1540) / 2
LCM(1534,1540) = 2362360 / 2
LCM(1534,1540) = 1181180

Properties of LCM 1534 and 1540

(i) The LCM of 1540 and 1534 is associative

LCM of 1534 and 1540 = LCM of 1540 and 1534

Related Least Common Multiples of 1534

Related Least Common Multiples of 1540

Frequently Asked Questions on LCM of 1534 and 1540

1. What is the LCM of 1534 and 1540?

Answer: LCM of 1534 and 1540 is 1181180.

2. What are the Factors of 1534?

Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.

3. 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.

4. How to Find the LCM of 1534 and 1540?

Answer:

Least Common Multiple of 1534 and 1540 = 1181180

Step 1: Find the prime factorization of 1534

1534 = 2 x 13 x 59

Step 2: Find the prime factorization of 1540

1540 = 2 x 2 x 5 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 = 1181180 = 2 x 2 x 5 x 7 x 11 x 13 x 59

Step 4: Therefore, the least common multiple of 1534 and 1540 is 1181180.