Least Common Multiple of 1514 and 1520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1514 and 1520 the smallest integer that is 1150640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1520 is 1150640.

LCM(1514,1520) = 1150640

LCM of 1514 and 1520

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

LCM of:
and

Least Common Multiple of 1514 and 1520

LCM of 1514 and 1520 is 1150640

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1520. First we will calculate the prime factors of 1514 and 1520.

Prime Factorization of 1514


2 1514
757 757
1

Prime factors of 1514 are 2,757. Prime factorization of 1514 in exponential form is:

1514 = 21×7571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1520.

LCM(1514,1520) = 24×51×191×7571
LCM(1514,1520) = 1150640

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1, 2, 757, 1514

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

Least Common Multiple of 1514 and 1520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1514 and 1520, than apply into the LCM equation.

GCF(1514,1520) = 2
LCM(1514,1520) = ( 1514 × 1520) / 2
LCM(1514,1520) = 2301280 / 2
LCM(1514,1520) = 1150640

Properties of LCM 1514 and 1520

(i) The LCM of 1520 and 1514 is associative

LCM of 1514 and 1520 = LCM of 1520 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1520

Frequently Asked Questions on LCM of 1514 and 1520

1. What is the LCM of 1514 and 1520?

Answer: LCM of 1514 and 1520 is 1150640.

2. What are the Factors of 1514?

Answer: Factors of 1514 are 1, 2, 757, 1514. There are 4 integers that are factors of 1514. The greatest factor of 1514 is 1514.

3. 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.

4. How to Find the LCM of 1514 and 1520?

Answer:

Least Common Multiple of 1514 and 1520 = 1150640

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1520

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

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

LCM = 1150640 = 2 x 2 x 2 x 2 x 5 x 19 x 757

Step 4: Therefore, the least common multiple of 1514 and 1520 is 1150640.