Least Common Multiple of 1530 and 1534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1530 and 1534 the smallest integer that is 1173510 that is divisible by both numbers.

Least Common Multiple (LCM) of 1530 and 1534 is 1173510.

LCM(1530,1534) = 1173510

LCM of 1530 and 1534

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

LCM of:
and

Least Common Multiple of 1530 and 1534

LCM of 1530 and 1534 is 1173510

Least common multiple can be found by multiplying the highest exponent prime factors of 1530 and 1534. First we will calculate the prime factors of 1530 and 1534.

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2, 3, 5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1530 and 1534.

LCM(1530,1534) = 21×32×51×131×171×591
LCM(1530,1534) = 1173510

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Factors of 1534

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

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

Least Common Multiple of 1530 and 1534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1530 and 1534, than apply into the LCM equation.

GCF(1530,1534) = 2
LCM(1530,1534) = ( 1530 × 1534) / 2
LCM(1530,1534) = 2347020 / 2
LCM(1530,1534) = 1173510

Properties of LCM 1530 and 1534

(i) The LCM of 1534 and 1530 is associative

LCM of 1530 and 1534 = LCM of 1534 and 1530

Related Least Common Multiples of 1530

Related Least Common Multiples of 1534

Frequently Asked Questions on LCM of 1530 and 1534

1. What is the LCM of 1530 and 1534?

Answer: LCM of 1530 and 1534 is 1173510.

2. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

3. 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.

4. How to Find the LCM of 1530 and 1534?

Answer:

Least Common Multiple of 1530 and 1534 = 1173510

Step 1: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 1534

1534 = 2 x 13 x 59

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

LCM = 1173510 = 2 x 3 x 3 x 5 x 13 x 17 x 59

Step 4: Therefore, the least common multiple of 1530 and 1534 is 1173510.