Least Common Multiple of 1514 and 1516

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 1516 the smallest integer that is 1147612 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1516 is 1147612.

LCM(1514,1516) = 1147612

LCM of 1514 and 1516

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

LCM of:
and

Least Common Multiple of 1514 and 1516

LCM of 1514 and 1516 is 1147612

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1516. First we will calculate the prime factors of 1514 and 1516.

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 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1516.

LCM(1514,1516) = 22×3791×7571
LCM(1514,1516) = 1147612

Factors of 1514

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

1, 2, 757, 1514

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1, 2, 4, 379, 758, 1516

Least Common Multiple of 1514 and 1516 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 1516, than apply into the LCM equation.

GCF(1514,1516) = 2
LCM(1514,1516) = ( 1514 × 1516) / 2
LCM(1514,1516) = 2295224 / 2
LCM(1514,1516) = 1147612

Properties of LCM 1514 and 1516

(i) The LCM of 1516 and 1514 is associative

LCM of 1514 and 1516 = LCM of 1516 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1516

Frequently Asked Questions on LCM of 1514 and 1516

1. What is the LCM of 1514 and 1516?

Answer: LCM of 1514 and 1516 is 1147612.

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 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

4. How to Find the LCM of 1514 and 1516?

Answer:

Least Common Multiple of 1514 and 1516 = 1147612

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1516

1516 = 2 x 2 x 379

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

LCM = 1147612 = 2 x 2 x 379 x 757

Step 4: Therefore, the least common multiple of 1514 and 1516 is 1147612.