Least Common Multiple of 1486 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 1486 and 1492 the smallest integer that is 1108556 that is divisible by both numbers.

Least Common Multiple (LCM) of 1486 and 1492 is 1108556.

LCM(1486,1492) = 1108556

LCM of 1486 and 1492

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

LCM of:
and

Least Common Multiple of 1486 and 1492

LCM of 1486 and 1492 is 1108556

Least common multiple can be found by multiplying the highest exponent prime factors of 1486 and 1492. First we will calculate the prime factors of 1486 and 1492.

Prime Factorization of 1486


2 1486
743 743
1

Prime factors of 1486 are 2,743. Prime factorization of 1486 in exponential form is:

1486 = 21×7431

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 1486 and 1492.

LCM(1486,1492) = 22×3731×7431
LCM(1486,1492) = 1108556

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1, 2, 743, 1486

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 1486 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 1486 and 1492, than apply into the LCM equation.

GCF(1486,1492) = 2
LCM(1486,1492) = ( 1486 × 1492) / 2
LCM(1486,1492) = 2217112 / 2
LCM(1486,1492) = 1108556

Properties of LCM 1486 and 1492

(i) The LCM of 1492 and 1486 is associative

LCM of 1486 and 1492 = LCM of 1492 and 1486

Related Least Common Multiples of 1486

Related Least Common Multiples of 1492

Frequently Asked Questions on LCM of 1486 and 1492

1. What is the LCM of 1486 and 1492?

Answer: LCM of 1486 and 1492 is 1108556.

2. What are the Factors of 1486?

Answer: Factors of 1486 are 1, 2, 743, 1486. There are 4 integers that are factors of 1486. The greatest factor of 1486 is 1486.

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 1486 and 1492?

Answer:

Least Common Multiple of 1486 and 1492 = 1108556

Step 1: Find the prime factorization of 1486

1486 = 2 x 743

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 = 1108556 = 2 x 2 x 373 x 743

Step 4: Therefore, the least common multiple of 1486 and 1492 is 1108556.