Least Common Multiple of 373 and 378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 373 and 378 the smallest integer that is 140994 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 378 is 140994.

LCM(373,378) = 140994

LCM of 373 and 378

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

LCM of:
and

Least Common Multiple of 373 and 378

LCM of 373 and 378 is 140994

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 378. First we will calculate the prime factors of 373 and 378.

Prime Factorization of 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 373 and 378.

LCM(373,378) = 21×33×71×3731
LCM(373,378) = 140994

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

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

Least Common Multiple of 373 and 378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 373 and 378, than apply into the LCM equation.

GCF(373,378) = 1
LCM(373,378) = ( 373 × 378) / 1
LCM(373,378) = 140994 / 1
LCM(373,378) = 140994

Properties of LCM 373 and 378

(i) The LCM of 378 and 373 is associative

LCM of 373 and 378 = LCM of 378 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 373 and 378

1. What is the LCM of 373 and 378?

Answer: LCM of 373 and 378 is 140994.

2. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

3. 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.

4. How to Find the LCM of 373 and 378?

Answer:

Least Common Multiple of 373 and 378 = 140994

Step 1: Find the prime factorization of 373

373 = 373

Step 2: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

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

LCM = 140994 = 2 x 3 x 3 x 3 x 7 x 373

Step 4: Therefore, the least common multiple of 373 and 378 is 140994.