Least Common Multiple of 1527 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 1527 and 1534 the smallest integer that is 2342418 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1534 is 2342418.

LCM(1527,1534) = 2342418

LCM of 1527 and 1534

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

LCM of:
and

Least Common Multiple of 1527 and 1534

LCM of 1527 and 1534 is 2342418

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1534. First we will calculate the prime factors of 1527 and 1534.

Prime Factorization of 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

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 1527 and 1534.

LCM(1527,1534) = 21×31×131×591×5091
LCM(1527,1534) = 2342418

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1, 3, 509, 1527

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 1527 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 1527 and 1534, than apply into the LCM equation.

GCF(1527,1534) = 1
LCM(1527,1534) = ( 1527 × 1534) / 1
LCM(1527,1534) = 2342418 / 1
LCM(1527,1534) = 2342418

Properties of LCM 1527 and 1534

(i) The LCM of 1534 and 1527 is associative

LCM of 1527 and 1534 = LCM of 1534 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1534

Frequently Asked Questions on LCM of 1527 and 1534

1. What is the LCM of 1527 and 1534?

Answer: LCM of 1527 and 1534 is 2342418.

2. What are the Factors of 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

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 1527 and 1534?

Answer:

Least Common Multiple of 1527 and 1534 = 2342418

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

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 = 2342418 = 2 x 3 x 13 x 59 x 509

Step 4: Therefore, the least common multiple of 1527 and 1534 is 2342418.