Least Common Multiple of 1486 and 1493

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 1493 the smallest integer that is 2218598 that is divisible by both numbers.

Least Common Multiple (LCM) of 1486 and 1493 is 2218598.

LCM(1486,1493) = 2218598

LCM of 1486 and 1493

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

LCM of:
and

Least Common Multiple of 1486 and 1493

LCM of 1486 and 1493 is 2218598

Least common multiple can be found by multiplying the highest exponent prime factors of 1486 and 1493. First we will calculate the prime factors of 1486 and 1493.

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 1493


1493 1493
1

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 1486 and 1493.

LCM(1486,1493) = 21×7431×14931
LCM(1486,1493) = 2218598

Factors of 1486

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

1, 2, 743, 1486

Factors of 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1, 1493

Least Common Multiple of 1486 and 1493 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 1493, than apply into the LCM equation.

GCF(1486,1493) = 1
LCM(1486,1493) = ( 1486 × 1493) / 1
LCM(1486,1493) = 2218598 / 1
LCM(1486,1493) = 2218598

Properties of LCM 1486 and 1493

(i) The LCM of 1493 and 1486 is associative

LCM of 1486 and 1493 = LCM of 1493 and 1486

Related Least Common Multiples of 1486

Related Least Common Multiples of 1493

Frequently Asked Questions on LCM of 1486 and 1493

1. What is the LCM of 1486 and 1493?

Answer: LCM of 1486 and 1493 is 2218598.

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 1493?

Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.

4. How to Find the LCM of 1486 and 1493?

Answer:

Least Common Multiple of 1486 and 1493 = 2218598

Step 1: Find the prime factorization of 1486

1486 = 2 x 743

Step 2: Find the prime factorization of 1493

1493 = 1493

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

LCM = 2218598 = 2 x 743 x 1493

Step 4: Therefore, the least common multiple of 1486 and 1493 is 2218598.