Least Common Multiple of 1402 and 1409

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 1409 the smallest integer that is 1975418 that is divisible by both numbers.

Least Common Multiple (LCM) of 1402 and 1409 is 1975418.

LCM(1402,1409) = 1975418

LCM of 1402 and 1409

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

LCM of:
and

Least Common Multiple of 1402 and 1409

LCM of 1402 and 1409 is 1975418

Least common multiple can be found by multiplying the highest exponent prime factors of 1402 and 1409. First we will calculate the prime factors of 1402 and 1409.

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 1409


1409 1409
1

Prime factors of 1409 are 1409. Prime factorization of 1409 in exponential form is:

1409 = 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 1402 and 1409.

LCM(1402,1409) = 21×7011×14091
LCM(1402,1409) = 1975418

Factors of 1402

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

1, 2, 701, 1402

Factors of 1409

List of positive integer factors of 1409 that divides 1409 without a remainder.

1, 1409

Least Common Multiple of 1402 and 1409 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 1409, than apply into the LCM equation.

GCF(1402,1409) = 1
LCM(1402,1409) = ( 1402 × 1409) / 1
LCM(1402,1409) = 1975418 / 1
LCM(1402,1409) = 1975418

Properties of LCM 1402 and 1409

(i) The LCM of 1409 and 1402 is associative

LCM of 1402 and 1409 = LCM of 1409 and 1402

Related Least Common Multiples of 1402

Related Least Common Multiples of 1409

Frequently Asked Questions on LCM of 1402 and 1409

1. What is the LCM of 1402 and 1409?

Answer: LCM of 1402 and 1409 is 1975418.

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 1409?

Answer: Factors of 1409 are 1, 1409. There are 2 integers that are factors of 1409. The greatest factor of 1409 is 1409.

4. How to Find the LCM of 1402 and 1409?

Answer:

Least Common Multiple of 1402 and 1409 = 1975418

Step 1: Find the prime factorization of 1402

1402 = 2 x 701

Step 2: Find the prime factorization of 1409

1409 = 1409

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

LCM = 1975418 = 2 x 701 x 1409

Step 4: Therefore, the least common multiple of 1402 and 1409 is 1975418.