Least Common Multiple of 1492 and 1496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1492 and 1496 the smallest integer that is 558008 that is divisible by both numbers.

Least Common Multiple (LCM) of 1492 and 1496 is 558008.

LCM(1492,1496) = 558008

LCM of 1492 and 1496

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

LCM of:
and

Least Common Multiple of 1492 and 1496

LCM of 1492 and 1496 is 558008

Least common multiple can be found by multiplying the highest exponent prime factors of 1492 and 1496. First we will calculate the prime factors of 1492 and 1496.

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

Prime Factorization of 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1492 and 1496.

LCM(1492,1496) = 23×111×171×3731
LCM(1492,1496) = 558008

Factors of 1492

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

1, 2, 4, 373, 746, 1492

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

Least Common Multiple of 1492 and 1496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1492 and 1496, than apply into the LCM equation.

GCF(1492,1496) = 4
LCM(1492,1496) = ( 1492 × 1496) / 4
LCM(1492,1496) = 2232032 / 4
LCM(1492,1496) = 558008

Properties of LCM 1492 and 1496

(i) The LCM of 1496 and 1492 is associative

LCM of 1492 and 1496 = LCM of 1496 and 1492

Related Least Common Multiples of 1492

Related Least Common Multiples of 1496

Frequently Asked Questions on LCM of 1492 and 1496

1. What is the LCM of 1492 and 1496?

Answer: LCM of 1492 and 1496 is 558008.

2. 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.

3. What are the Factors of 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

4. How to Find the LCM of 1492 and 1496?

Answer:

Least Common Multiple of 1492 and 1496 = 558008

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

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

LCM = 558008 = 2 x 2 x 2 x 11 x 17 x 373

Step 4: Therefore, the least common multiple of 1492 and 1496 is 558008.