Least Common Multiple of 372 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 372 and 378 the smallest integer that is 23436 that is divisible by both numbers.

Least Common Multiple (LCM) of 372 and 378 is 23436.

LCM(372,378) = 23436

LCM of 372 and 378

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

LCM of:
and

Least Common Multiple of 372 and 378

LCM of 372 and 378 is 23436

Least common multiple can be found by multiplying the highest exponent prime factors of 372 and 378. First we will calculate the prime factors of 372 and 378.

Prime Factorization of 372


2 372
2 186
3 93
31 31
1

Prime factors of 372 are 2, 3,31. Prime factorization of 372 in exponential form is:

372 = 22×31×311

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 372 and 378.

LCM(372,378) = 22×33×71×311
LCM(372,378) = 23436

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 372 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 372 and 378, than apply into the LCM equation.

GCF(372,378) = 6
LCM(372,378) = ( 372 × 378) / 6
LCM(372,378) = 140616 / 6
LCM(372,378) = 23436

Properties of LCM 372 and 378

(i) The LCM of 378 and 372 is associative

LCM of 372 and 378 = LCM of 378 and 372

Related Least Common Multiples of 372

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 372 and 378

1. What is the LCM of 372 and 378?

Answer: LCM of 372 and 378 is 23436.

2. What are the Factors of 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

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 372 and 378?

Answer:

Least Common Multiple of 372 and 378 = 23436

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

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 = 23436 = 2 x 2 x 3 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 372 and 378 is 23436.