Least Common Multiple of 379 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 379 and 387 the smallest integer that is 146673 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 387 is 146673.

LCM(379,387) = 146673

LCM of 379 and 387

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

LCM of:
and

Least Common Multiple of 379 and 387

LCM of 379 and 387 is 146673

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 387. First we will calculate the prime factors of 379 and 387.

Prime Factorization of 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

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 379 and 387.

LCM(379,387) = 32×431×3791
LCM(379,387) = 146673

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

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 379 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 379 and 387, than apply into the LCM equation.

GCF(379,387) = 1
LCM(379,387) = ( 379 × 387) / 1
LCM(379,387) = 146673 / 1
LCM(379,387) = 146673

Properties of LCM 379 and 387

(i) The LCM of 387 and 379 is associative

LCM of 379 and 387 = LCM of 387 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 379 and 387

1. What is the LCM of 379 and 387?

Answer: LCM of 379 and 387 is 146673.

2. What are the Factors of 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

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 379 and 387?

Answer:

Least Common Multiple of 379 and 387 = 146673

Step 1: Find the prime factorization of 379

379 = 379

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 = 146673 = 3 x 3 x 43 x 379

Step 4: Therefore, the least common multiple of 379 and 387 is 146673.