Least Common Multiple of 1492 and 1498

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 1498 the smallest integer that is 1117508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1492 and 1498 is 1117508.

LCM(1492,1498) = 1117508

LCM of 1492 and 1498

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

LCM of:
and

Least Common Multiple of 1492 and 1498

LCM of 1492 and 1498 is 1117508

Least common multiple can be found by multiplying the highest exponent prime factors of 1492 and 1498. First we will calculate the prime factors of 1492 and 1498.

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 1498


2 1498
7 749
107 107
1

Prime factors of 1498 are 2, 7,107. Prime factorization of 1498 in exponential form is:

1498 = 21×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1492 and 1498.

LCM(1492,1498) = 22×71×1071×3731
LCM(1492,1498) = 1117508

Factors of 1492

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

1, 2, 4, 373, 746, 1492

Factors of 1498

List of positive integer factors of 1498 that divides 1498 without a remainder.

1, 2, 7, 14, 107, 214, 749, 1498

Least Common Multiple of 1492 and 1498 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 1498, than apply into the LCM equation.

GCF(1492,1498) = 2
LCM(1492,1498) = ( 1492 × 1498) / 2
LCM(1492,1498) = 2235016 / 2
LCM(1492,1498) = 1117508

Properties of LCM 1492 and 1498

(i) The LCM of 1498 and 1492 is associative

LCM of 1492 and 1498 = LCM of 1498 and 1492

Related Least Common Multiples of 1492

Related Least Common Multiples of 1498

Frequently Asked Questions on LCM of 1492 and 1498

1. What is the LCM of 1492 and 1498?

Answer: LCM of 1492 and 1498 is 1117508.

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 1498?

Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.

4. How to Find the LCM of 1492 and 1498?

Answer:

Least Common Multiple of 1492 and 1498 = 1117508

Step 1: Find the prime factorization of 1492

1492 = 2 x 2 x 373

Step 2: Find the prime factorization of 1498

1498 = 2 x 7 x 107

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

LCM = 1117508 = 2 x 2 x 7 x 107 x 373

Step 4: Therefore, the least common multiple of 1492 and 1498 is 1117508.