Least Common Multiple of 1390 and 1398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1390 and 1398 the smallest integer that is 971610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1390 and 1398 is 971610.

LCM(1390,1398) = 971610

LCM of 1390 and 1398

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

LCM of:
and

Least Common Multiple of 1390 and 1398

LCM of 1390 and 1398 is 971610

Least common multiple can be found by multiplying the highest exponent prime factors of 1390 and 1398. First we will calculate the prime factors of 1390 and 1398.

Prime Factorization of 1390


2 1390
5 695
139 139
1

Prime factors of 1390 are 2, 5,139. Prime factorization of 1390 in exponential form is:

1390 = 21×51×1391

Prime Factorization of 1398


2 1398
3 699
233 233
1

Prime factors of 1398 are 2, 3,233. Prime factorization of 1398 in exponential form is:

1398 = 21×31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1390 and 1398.

LCM(1390,1398) = 21×31×51×1391×2331
LCM(1390,1398) = 971610

Factors of 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1, 2, 5, 10, 139, 278, 695, 1390

Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1, 2, 3, 6, 233, 466, 699, 1398

Least Common Multiple of 1390 and 1398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1390 and 1398, than apply into the LCM equation.

GCF(1390,1398) = 2
LCM(1390,1398) = ( 1390 × 1398) / 2
LCM(1390,1398) = 1943220 / 2
LCM(1390,1398) = 971610

Properties of LCM 1390 and 1398

(i) The LCM of 1398 and 1390 is associative

LCM of 1390 and 1398 = LCM of 1398 and 1390

Related Least Common Multiples of 1390

Related Least Common Multiples of 1398

Frequently Asked Questions on LCM of 1390 and 1398

1. What is the LCM of 1390 and 1398?

Answer: LCM of 1390 and 1398 is 971610.

2. What are the Factors of 1390?

Answer: Factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390. There are 8 integers that are factors of 1390. The greatest factor of 1390 is 1390.

3. What are the Factors of 1398?

Answer: Factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398. There are 8 integers that are factors of 1398. The greatest factor of 1398 is 1398.

4. How to Find the LCM of 1390 and 1398?

Answer:

Least Common Multiple of 1390 and 1398 = 971610

Step 1: Find the prime factorization of 1390

1390 = 2 x 5 x 139

Step 2: Find the prime factorization of 1398

1398 = 2 x 3 x 233

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

LCM = 971610 = 2 x 3 x 5 x 139 x 233

Step 4: Therefore, the least common multiple of 1390 and 1398 is 971610.