Least Common Multiple of 378 and 379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 378 and 379 the smallest integer that is 143262 that is divisible by both numbers.

Least Common Multiple (LCM) of 378 and 379 is 143262.

LCM(378,379) = 143262

LCM of 378 and 379

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

LCM of:
and

Least Common Multiple of 378 and 379

LCM of 378 and 379 is 143262

Least common multiple can be found by multiplying the highest exponent prime factors of 378 and 379. First we will calculate the prime factors of 378 and 379.

Prime Factorization of 378


2 378
3 189
3 63
3 21
7 7
1

Prime factors of 378 are 2, 3,7. Prime factorization of 378 in exponential form is:

378 = 21×33×71

Prime Factorization of 379


379 379
1

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

379 = 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 378 and 379.

LCM(378,379) = 21×33×71×3791
LCM(378,379) = 143262

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Factors of 379

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

1, 379

Least Common Multiple of 378 and 379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 378 and 379, than apply into the LCM equation.

GCF(378,379) = 1
LCM(378,379) = ( 378 × 379) / 1
LCM(378,379) = 143262 / 1
LCM(378,379) = 143262

Properties of LCM 378 and 379

(i) The LCM of 379 and 378 is associative

LCM of 378 and 379 = LCM of 379 and 378

Related Least Common Multiples of 378

Related Least Common Multiples of 379

Frequently Asked Questions on LCM of 378 and 379

1. What is the LCM of 378 and 379?

Answer: LCM of 378 and 379 is 143262.

2. What are the Factors of 378?

Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.

3. 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.

4. How to Find the LCM of 378 and 379?

Answer:

Least Common Multiple of 378 and 379 = 143262

Step 1: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 379

379 = 379

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

LCM = 143262 = 2 x 3 x 3 x 3 x 7 x 379

Step 4: Therefore, the least common multiple of 378 and 379 is 143262.