Least Common Multiple of 1486 and 1490

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 1490 the smallest integer that is 1107070 that is divisible by both numbers.

Least Common Multiple (LCM) of 1486 and 1490 is 1107070.

LCM(1486,1490) = 1107070

LCM of 1486 and 1490

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

LCM of:
and

Least Common Multiple of 1486 and 1490

LCM of 1486 and 1490 is 1107070

Least common multiple can be found by multiplying the highest exponent prime factors of 1486 and 1490. First we will calculate the prime factors of 1486 and 1490.

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 1490


2 1490
5 745
149 149
1

Prime factors of 1490 are 2, 5,149. Prime factorization of 1490 in exponential form is:

1490 = 21×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1486 and 1490.

LCM(1486,1490) = 21×51×1491×7431
LCM(1486,1490) = 1107070

Factors of 1486

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

1, 2, 743, 1486

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1, 2, 5, 10, 149, 298, 745, 1490

Least Common Multiple of 1486 and 1490 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 1490, than apply into the LCM equation.

GCF(1486,1490) = 2
LCM(1486,1490) = ( 1486 × 1490) / 2
LCM(1486,1490) = 2214140 / 2
LCM(1486,1490) = 1107070

Properties of LCM 1486 and 1490

(i) The LCM of 1490 and 1486 is associative

LCM of 1486 and 1490 = LCM of 1490 and 1486

Related Least Common Multiples of 1486

Related Least Common Multiples of 1490

Frequently Asked Questions on LCM of 1486 and 1490

1. What is the LCM of 1486 and 1490?

Answer: LCM of 1486 and 1490 is 1107070.

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 1490?

Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.

4. How to Find the LCM of 1486 and 1490?

Answer:

Least Common Multiple of 1486 and 1490 = 1107070

Step 1: Find the prime factorization of 1486

1486 = 2 x 743

Step 2: Find the prime factorization of 1490

1490 = 2 x 5 x 149

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

LCM = 1107070 = 2 x 5 x 149 x 743

Step 4: Therefore, the least common multiple of 1486 and 1490 is 1107070.