Least Common Multiple of 381 and 387

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 387 the smallest integer that is 49149 that is divisible by both numbers.

Least Common Multiple (LCM) of 381 and 387 is 49149.

LCM(381,387) = 49149

LCM of 381 and 387

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

LCM of:
and

Least Common Multiple of 381 and 387

LCM of 381 and 387 is 49149

Least common multiple can be found by multiplying the highest exponent prime factors of 381 and 387. First we will calculate the prime factors of 381 and 387.

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 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 381 and 387.

LCM(381,387) = 32×431×1271
LCM(381,387) = 49149

Factors of 381

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

1, 3, 127, 381

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Least Common Multiple of 381 and 387 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 387, than apply into the LCM equation.

GCF(381,387) = 3
LCM(381,387) = ( 381 × 387) / 3
LCM(381,387) = 147447 / 3
LCM(381,387) = 49149

Properties of LCM 381 and 387

(i) The LCM of 387 and 381 is associative

LCM of 381 and 387 = LCM of 387 and 381

Related Least Common Multiples of 381

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 381 and 387

1. What is the LCM of 381 and 387?

Answer: LCM of 381 and 387 is 49149.

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 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

4. How to Find the LCM of 381 and 387?

Answer:

Least Common Multiple of 381 and 387 = 49149

Step 1: Find the prime factorization of 381

381 = 3 x 127

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

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

LCM = 49149 = 3 x 3 x 43 x 127

Step 4: Therefore, the least common multiple of 381 and 387 is 49149.