Least Common Multiple of 1520 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 1520 and 1526 the smallest integer that is 1159760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1520 and 1526 is 1159760.

LCM(1520,1526) = 1159760

LCM of 1520 and 1526

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

LCM of:
and

Least Common Multiple of 1520 and 1526

LCM of 1520 and 1526 is 1159760

Least common multiple can be found by multiplying the highest exponent prime factors of 1520 and 1526. First we will calculate the prime factors of 1520 and 1526.

Prime Factorization of 1520


2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 1520 are 2, 5,19. Prime factorization of 1520 in exponential form is:

1520 = 24×51×191

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 1520 and 1526.

LCM(1520,1526) = 24×51×71×191×1091
LCM(1520,1526) = 1159760

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520

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 1520 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 1520 and 1526, than apply into the LCM equation.

GCF(1520,1526) = 2
LCM(1520,1526) = ( 1520 × 1526) / 2
LCM(1520,1526) = 2319520 / 2
LCM(1520,1526) = 1159760

Properties of LCM 1520 and 1526

(i) The LCM of 1526 and 1520 is associative

LCM of 1520 and 1526 = LCM of 1526 and 1520

Related Least Common Multiples of 1520

Related Least Common Multiples of 1526

Frequently Asked Questions on LCM of 1520 and 1526

1. What is the LCM of 1520 and 1526?

Answer: LCM of 1520 and 1526 is 1159760.

2. What are the Factors of 1520?

Answer: Factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520. There are 20 integers that are factors of 1520. The greatest factor of 1520 is 1520.

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 1520 and 1526?

Answer:

Least Common Multiple of 1520 and 1526 = 1159760

Step 1: Find the prime factorization of 1520

1520 = 2 x 2 x 2 x 2 x 5 x 19

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 = 1159760 = 2 x 2 x 2 x 2 x 5 x 7 x 19 x 109

Step 4: Therefore, the least common multiple of 1520 and 1526 is 1159760.