Least Common Multiple of 1506 and 1514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1506 and 1514 the smallest integer that is 1140042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1506 and 1514 is 1140042.

LCM(1506,1514) = 1140042

LCM of 1506 and 1514

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

LCM of:
and

Least Common Multiple of 1506 and 1514

LCM of 1506 and 1514 is 1140042

Least common multiple can be found by multiplying the highest exponent prime factors of 1506 and 1514. First we will calculate the prime factors of 1506 and 1514.

Prime Factorization of 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2, 3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1506 and 1514.

LCM(1506,1514) = 21×31×2511×7571
LCM(1506,1514) = 1140042

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1, 2, 3, 6, 251, 502, 753, 1506

Factors of 1514

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

1, 2, 757, 1514

Least Common Multiple of 1506 and 1514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1506 and 1514, than apply into the LCM equation.

GCF(1506,1514) = 2
LCM(1506,1514) = ( 1506 × 1514) / 2
LCM(1506,1514) = 2280084 / 2
LCM(1506,1514) = 1140042

Properties of LCM 1506 and 1514

(i) The LCM of 1514 and 1506 is associative

LCM of 1506 and 1514 = LCM of 1514 and 1506

Related Least Common Multiples of 1506

Related Least Common Multiples of 1514

Frequently Asked Questions on LCM of 1506 and 1514

1. What is the LCM of 1506 and 1514?

Answer: LCM of 1506 and 1514 is 1140042.

2. What are the Factors of 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

3. 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.

4. How to Find the LCM of 1506 and 1514?

Answer:

Least Common Multiple of 1506 and 1514 = 1140042

Step 1: Find the prime factorization of 1506

1506 = 2 x 3 x 251

Step 2: Find the prime factorization of 1514

1514 = 2 x 757

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

LCM = 1140042 = 2 x 3 x 251 x 757

Step 4: Therefore, the least common multiple of 1506 and 1514 is 1140042.