Least Common Multiple of 387 and 394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 387 and 394 the smallest integer that is 152478 that is divisible by both numbers.

Least Common Multiple (LCM) of 387 and 394 is 152478.

LCM(387,394) = 152478

LCM of 387 and 394

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

LCM of:
and

Least Common Multiple of 387 and 394

LCM of 387 and 394 is 152478

Least common multiple can be found by multiplying the highest exponent prime factors of 387 and 394. First we will calculate the prime factors of 387 and 394.

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

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 387 and 394.

LCM(387,394) = 21×32×431×1971
LCM(387,394) = 152478

Factors of 387

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

1, 3, 9, 43, 129, 387

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Least Common Multiple of 387 and 394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 387 and 394, than apply into the LCM equation.

GCF(387,394) = 1
LCM(387,394) = ( 387 × 394) / 1
LCM(387,394) = 152478 / 1
LCM(387,394) = 152478

Properties of LCM 387 and 394

(i) The LCM of 394 and 387 is associative

LCM of 387 and 394 = LCM of 394 and 387

Related Least Common Multiples of 387

Related Least Common Multiples of 394

Frequently Asked Questions on LCM of 387 and 394

1. What is the LCM of 387 and 394?

Answer: LCM of 387 and 394 is 152478.

2. 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.

3. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

4. How to Find the LCM of 387 and 394?

Answer:

Least Common Multiple of 387 and 394 = 152478

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

Step 2: Find the prime factorization of 394

394 = 2 x 197

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

LCM = 152478 = 2 x 3 x 3 x 43 x 197

Step 4: Therefore, the least common multiple of 387 and 394 is 152478.