Least Common Multiple of 1514 and 1515

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 1515 the smallest integer that is 2293710 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1515 is 2293710.

LCM(1514,1515) = 2293710

LCM of 1514 and 1515

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

LCM of:
and

Least Common Multiple of 1514 and 1515

LCM of 1514 and 1515 is 2293710

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1515. First we will calculate the prime factors of 1514 and 1515.

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 1515


3 1515
5 505
101 101
1

Prime factors of 1515 are 3, 5,101. Prime factorization of 1515 in exponential form is:

1515 = 31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1515.

LCM(1514,1515) = 21×31×51×1011×7571
LCM(1514,1515) = 2293710

Factors of 1514

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

1, 2, 757, 1514

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1, 3, 5, 15, 101, 303, 505, 1515

Least Common Multiple of 1514 and 1515 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 1515, than apply into the LCM equation.

GCF(1514,1515) = 1
LCM(1514,1515) = ( 1514 × 1515) / 1
LCM(1514,1515) = 2293710 / 1
LCM(1514,1515) = 2293710

Properties of LCM 1514 and 1515

(i) The LCM of 1515 and 1514 is associative

LCM of 1514 and 1515 = LCM of 1515 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1515

Frequently Asked Questions on LCM of 1514 and 1515

1. What is the LCM of 1514 and 1515?

Answer: LCM of 1514 and 1515 is 2293710.

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 1515?

Answer: Factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515. There are 8 integers that are factors of 1515. The greatest factor of 1515 is 1515.

4. How to Find the LCM of 1514 and 1515?

Answer:

Least Common Multiple of 1514 and 1515 = 2293710

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1515

1515 = 3 x 5 x 101

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

LCM = 2293710 = 2 x 3 x 5 x 101 x 757

Step 4: Therefore, the least common multiple of 1514 and 1515 is 2293710.