Least Common Multiple of 381 and 389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 381 and 389 the smallest integer that is 148209 that is divisible by both numbers.

Least Common Multiple (LCM) of 381 and 389 is 148209.

LCM(381,389) = 148209

LCM of 381 and 389

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

LCM of:
and

Least Common Multiple of 381 and 389

LCM of 381 and 389 is 148209

Least common multiple can be found by multiplying the highest exponent prime factors of 381 and 389. First we will calculate the prime factors of 381 and 389.

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

Prime Factorization of 389


389 389
1

Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:

389 = 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 381 and 389.

LCM(381,389) = 31×1271×3891
LCM(381,389) = 148209

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1, 389

Least Common Multiple of 381 and 389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 381 and 389, than apply into the LCM equation.

GCF(381,389) = 1
LCM(381,389) = ( 381 × 389) / 1
LCM(381,389) = 148209 / 1
LCM(381,389) = 148209

Properties of LCM 381 and 389

(i) The LCM of 389 and 381 is associative

LCM of 381 and 389 = LCM of 389 and 381

Related Least Common Multiples of 381

Related Least Common Multiples of 389

Frequently Asked Questions on LCM of 381 and 389

1. What is the LCM of 381 and 389?

Answer: LCM of 381 and 389 is 148209.

2. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

3. What are the Factors of 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

4. How to Find the LCM of 381 and 389?

Answer:

Least Common Multiple of 381 and 389 = 148209

Step 1: Find the prime factorization of 381

381 = 3 x 127

Step 2: Find the prime factorization of 389

389 = 389

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

LCM = 148209 = 3 x 127 x 389

Step 4: Therefore, the least common multiple of 381 and 389 is 148209.