Least Common Multiple of 1402 and 1410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1402 and 1410 the smallest integer that is 988410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1402 and 1410 is 988410.

LCM(1402,1410) = 988410

LCM of 1402 and 1410

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

LCM of:
and

Least Common Multiple of 1402 and 1410

LCM of 1402 and 1410 is 988410

Least common multiple can be found by multiplying the highest exponent prime factors of 1402 and 1410. First we will calculate the prime factors of 1402 and 1410.

Prime Factorization of 1402


2 1402
701 701
1

Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:

1402 = 21×7011

Prime Factorization of 1410


2 1410
3 705
5 235
47 47
1

Prime factors of 1410 are 2, 3, 5,47. Prime factorization of 1410 in exponential form is:

1410 = 21×31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1402 and 1410.

LCM(1402,1410) = 21×31×51×471×7011
LCM(1402,1410) = 988410

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1, 2, 701, 1402

Factors of 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410

Least Common Multiple of 1402 and 1410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1402 and 1410, than apply into the LCM equation.

GCF(1402,1410) = 2
LCM(1402,1410) = ( 1402 × 1410) / 2
LCM(1402,1410) = 1976820 / 2
LCM(1402,1410) = 988410

Properties of LCM 1402 and 1410

(i) The LCM of 1410 and 1402 is associative

LCM of 1402 and 1410 = LCM of 1410 and 1402

Related Least Common Multiples of 1402

Related Least Common Multiples of 1410

Frequently Asked Questions on LCM of 1402 and 1410

1. What is the LCM of 1402 and 1410?

Answer: LCM of 1402 and 1410 is 988410.

2. What are the Factors of 1402?

Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.

3. What are the Factors of 1410?

Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.

4. How to Find the LCM of 1402 and 1410?

Answer:

Least Common Multiple of 1402 and 1410 = 988410

Step 1: Find the prime factorization of 1402

1402 = 2 x 701

Step 2: Find the prime factorization of 1410

1410 = 2 x 3 x 5 x 47

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

LCM = 988410 = 2 x 3 x 5 x 47 x 701

Step 4: Therefore, the least common multiple of 1402 and 1410 is 988410.