Least Common Multiple of 1526 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 1526 and 1534 the smallest integer that is 1170442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1526 and 1534 is 1170442.

LCM(1526,1534) = 1170442

LCM of 1526 and 1534

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

LCM of:
and

Least Common Multiple of 1526 and 1534

LCM of 1526 and 1534 is 1170442

Least common multiple can be found by multiplying the highest exponent prime factors of 1526 and 1534. First we will calculate the prime factors of 1526 and 1534.

Prime Factorization of 1526


2 1526
7 763
109 109
1

Prime factors of 1526 are 2, 7,109. Prime factorization of 1526 in exponential form is:

1526 = 21×71×1091

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 1526 and 1534.

LCM(1526,1534) = 21×71×131×591×1091
LCM(1526,1534) = 1170442

Factors of 1526

List of positive integer factors of 1526 that divides 1526 without a remainder.

1, 2, 7, 14, 109, 218, 763, 1526

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 1526 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 1526 and 1534, than apply into the LCM equation.

GCF(1526,1534) = 2
LCM(1526,1534) = ( 1526 × 1534) / 2
LCM(1526,1534) = 2340884 / 2
LCM(1526,1534) = 1170442

Properties of LCM 1526 and 1534

(i) The LCM of 1534 and 1526 is associative

LCM of 1526 and 1534 = LCM of 1534 and 1526

Related Least Common Multiples of 1526

Related Least Common Multiples of 1534

Frequently Asked Questions on LCM of 1526 and 1534

1. What is the LCM of 1526 and 1534?

Answer: LCM of 1526 and 1534 is 1170442.

2. What are the Factors of 1526?

Answer: Factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526. There are 8 integers that are factors of 1526. The greatest factor of 1526 is 1526.

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 1526 and 1534?

Answer:

Least Common Multiple of 1526 and 1534 = 1170442

Step 1: Find the prime factorization of 1526

1526 = 2 x 7 x 109

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 = 1170442 = 2 x 7 x 13 x 59 x 109

Step 4: Therefore, the least common multiple of 1526 and 1534 is 1170442.