Least Common Multiple of 13370 and 13372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13370 and 13372 the smallest integer that is 89391820 that is divisible by both numbers.

Least Common Multiple (LCM) of 13370 and 13372 is 89391820.

LCM(13370,13372) = 89391820

LCM of 13370 and 13372

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

LCM of:
and

Least Common Multiple of 13370 and 13372

LCM of 13370 and 13372 is 89391820

Least common multiple can be found by multiplying the highest exponent prime factors of 13370 and 13372. First we will calculate the prime factors of 13370 and 13372.

Prime Factorization of 13370


2 13370
5 6685
7 1337
191 191
1

Prime factors of 13370 are 2, 5, 7,191. Prime factorization of 13370 in exponential form is:

13370 = 21×51×71×1911

Prime Factorization of 13372


2 13372
2 6686
3343 3343
1

Prime factors of 13372 are 2,3343. Prime factorization of 13372 in exponential form is:

13372 = 22×33431

Now multiplying the highest exponent prime factors to calculate the LCM of 13370 and 13372.

LCM(13370,13372) = 22×51×71×1911×33431
LCM(13370,13372) = 89391820

Factors of 13370

List of positive integer factors of 13370 that divides 13370 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685, 13370

Factors of 13372

List of positive integer factors of 13372 that divides 13372 without a remainder.

1, 2, 4, 3343, 6686, 13372

Least Common Multiple of 13370 and 13372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13370 and 13372, than apply into the LCM equation.

GCF(13370,13372) = 2
LCM(13370,13372) = ( 13370 × 13372) / 2
LCM(13370,13372) = 178783640 / 2
LCM(13370,13372) = 89391820

Properties of LCM 13370 and 13372

(i) The LCM of 13372 and 13370 is associative

LCM of 13370 and 13372 = LCM of 13372 and 13370

Related Least Common Multiples of 13370

Related Least Common Multiples of 13372

Frequently Asked Questions on LCM of 13370 and 13372

1. What is the LCM of 13370 and 13372?

Answer: LCM of 13370 and 13372 is 89391820.

2. What are the Factors of 13370?

Answer: Factors of 13370 are 1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685, 13370. There are 16 integers that are factors of 13370. The greatest factor of 13370 is 13370.

3. What are the Factors of 13372?

Answer: Factors of 13372 are 1, 2, 4, 3343, 6686, 13372. There are 6 integers that are factors of 13372. The greatest factor of 13372 is 13372.

4. How to Find the LCM of 13370 and 13372?

Answer:

Least Common Multiple of 13370 and 13372 = 89391820

Step 1: Find the prime factorization of 13370

13370 = 2 x 5 x 7 x 191

Step 2: Find the prime factorization of 13372

13372 = 2 x 2 x 3343

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

LCM = 89391820 = 2 x 2 x 5 x 7 x 191 x 3343

Step 4: Therefore, the least common multiple of 13370 and 13372 is 89391820.