Least Common Multiple of 379 and 386

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 386 the smallest integer that is 146294 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 386 is 146294.

LCM(379,386) = 146294

LCM of 379 and 386

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

LCM of:
and

Least Common Multiple of 379 and 386

LCM of 379 and 386 is 146294

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 386. First we will calculate the prime factors of 379 and 386.

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 386


2 386
193 193
1

Prime factors of 386 are 2,193. Prime factorization of 386 in exponential form is:

386 = 21×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 379 and 386.

LCM(379,386) = 21×1931×3791
LCM(379,386) = 146294

Factors of 379

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

1, 379

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Least Common Multiple of 379 and 386 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 386, than apply into the LCM equation.

GCF(379,386) = 1
LCM(379,386) = ( 379 × 386) / 1
LCM(379,386) = 146294 / 1
LCM(379,386) = 146294

Properties of LCM 379 and 386

(i) The LCM of 386 and 379 is associative

LCM of 379 and 386 = LCM of 386 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 386

Frequently Asked Questions on LCM of 379 and 386

1. What is the LCM of 379 and 386?

Answer: LCM of 379 and 386 is 146294.

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 386?

Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.

4. How to Find the LCM of 379 and 386?

Answer:

Least Common Multiple of 379 and 386 = 146294

Step 1: Find the prime factorization of 379

379 = 379

Step 2: Find the prime factorization of 386

386 = 2 x 193

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

LCM = 146294 = 2 x 193 x 379

Step 4: Therefore, the least common multiple of 379 and 386 is 146294.