Least Common Multiple of 1487 and 1492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1487 and 1492 the smallest integer that is 2218604 that is divisible by both numbers.

Least Common Multiple (LCM) of 1487 and 1492 is 2218604.

LCM(1487,1492) = 2218604

LCM of 1487 and 1492

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

LCM of:
and

Least Common Multiple of 1487 and 1492

LCM of 1487 and 1492 is 2218604

Least common multiple can be found by multiplying the highest exponent prime factors of 1487 and 1492. First we will calculate the prime factors of 1487 and 1492.

Prime Factorization of 1487


1487 1487
1

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 14871

Prime Factorization of 1492


2 1492
2 746
373 373
1

Prime factors of 1492 are 2,373. Prime factorization of 1492 in exponential form is:

1492 = 22×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 1487 and 1492.

LCM(1487,1492) = 22×3731×14871
LCM(1487,1492) = 2218604

Factors of 1487

List of positive integer factors of 1487 that divides 1487 without a remainder.

1, 1487

Factors of 1492

List of positive integer factors of 1492 that divides 1492 without a remainder.

1, 2, 4, 373, 746, 1492

Least Common Multiple of 1487 and 1492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1487 and 1492, than apply into the LCM equation.

GCF(1487,1492) = 1
LCM(1487,1492) = ( 1487 × 1492) / 1
LCM(1487,1492) = 2218604 / 1
LCM(1487,1492) = 2218604

Properties of LCM 1487 and 1492

(i) The LCM of 1492 and 1487 is associative

LCM of 1487 and 1492 = LCM of 1492 and 1487

Related Least Common Multiples of 1487

Related Least Common Multiples of 1492

Frequently Asked Questions on LCM of 1487 and 1492

1. What is the LCM of 1487 and 1492?

Answer: LCM of 1487 and 1492 is 2218604.

2. What are the Factors of 1487?

Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.

3. What are the Factors of 1492?

Answer: Factors of 1492 are 1, 2, 4, 373, 746, 1492. There are 6 integers that are factors of 1492. The greatest factor of 1492 is 1492.

4. How to Find the LCM of 1487 and 1492?

Answer:

Least Common Multiple of 1487 and 1492 = 2218604

Step 1: Find the prime factorization of 1487

1487 = 1487

Step 2: Find the prime factorization of 1492

1492 = 2 x 2 x 373

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

LCM = 2218604 = 2 x 2 x 373 x 1487

Step 4: Therefore, the least common multiple of 1487 and 1492 is 2218604.