Least Common Multiple of 1519 and 1526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1519 and 1526 the smallest integer that is 331142 that is divisible by both numbers.

Least Common Multiple (LCM) of 1519 and 1526 is 331142.

LCM(1519,1526) = 331142

LCM of 1519 and 1526

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

LCM of:
and

Least Common Multiple of 1519 and 1526

LCM of 1519 and 1526 is 331142

Least common multiple can be found by multiplying the highest exponent prime factors of 1519 and 1526. First we will calculate the prime factors of 1519 and 1526.

Prime Factorization of 1519


7 1519
7 217
31 31
1

Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:

1519 = 72×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1519 and 1526.

LCM(1519,1526) = 21×72×311×1091
LCM(1519,1526) = 331142

Factors of 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1, 7, 31, 49, 217, 1519

Factors of 1526

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

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

Least Common Multiple of 1519 and 1526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1519 and 1526, than apply into the LCM equation.

GCF(1519,1526) = 7
LCM(1519,1526) = ( 1519 × 1526) / 7
LCM(1519,1526) = 2317994 / 7
LCM(1519,1526) = 331142

Properties of LCM 1519 and 1526

(i) The LCM of 1526 and 1519 is associative

LCM of 1519 and 1526 = LCM of 1526 and 1519

Related Least Common Multiples of 1519

Related Least Common Multiples of 1526

Frequently Asked Questions on LCM of 1519 and 1526

1. What is the LCM of 1519 and 1526?

Answer: LCM of 1519 and 1526 is 331142.

2. What are the Factors of 1519?

Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.

3. 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.

4. How to Find the LCM of 1519 and 1526?

Answer:

Least Common Multiple of 1519 and 1526 = 331142

Step 1: Find the prime factorization of 1519

1519 = 7 x 7 x 31

Step 2: Find the prime factorization of 1526

1526 = 2 x 7 x 109

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

LCM = 331142 = 2 x 7 x 7 x 31 x 109

Step 4: Therefore, the least common multiple of 1519 and 1526 is 331142.