Least Common Multiple of 370 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 370 and 378 the smallest integer that is 69930 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 378 is 69930.

LCM(370,378) = 69930

LCM of 370 and 378

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

LCM of:
and

Least Common Multiple of 370 and 378

LCM of 370 and 378 is 69930

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 378. First we will calculate the prime factors of 370 and 378.

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

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 370 and 378.

LCM(370,378) = 21×33×51×71×371
LCM(370,378) = 69930

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 370 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 370 and 378, than apply into the LCM equation.

GCF(370,378) = 2
LCM(370,378) = ( 370 × 378) / 2
LCM(370,378) = 139860 / 2
LCM(370,378) = 69930

Properties of LCM 370 and 378

(i) The LCM of 378 and 370 is associative

LCM of 370 and 378 = LCM of 378 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 370 and 378

1. What is the LCM of 370 and 378?

Answer: LCM of 370 and 378 is 69930.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

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 370 and 378?

Answer:

Least Common Multiple of 370 and 378 = 69930

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

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 = 69930 = 2 x 3 x 3 x 3 x 5 x 7 x 37

Step 4: Therefore, the least common multiple of 370 and 378 is 69930.