Least Common Multiple of 372 and 380

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 380 the smallest integer that is 35340 that is divisible by both numbers.

Least Common Multiple (LCM) of 372 and 380 is 35340.

LCM(372,380) = 35340

LCM of 372 and 380

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

LCM of:
and

Least Common Multiple of 372 and 380

LCM of 372 and 380 is 35340

Least common multiple can be found by multiplying the highest exponent prime factors of 372 and 380. First we will calculate the prime factors of 372 and 380.

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 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 372 and 380.

LCM(372,380) = 22×31×51×191×311
LCM(372,380) = 35340

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Least Common Multiple of 372 and 380 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 380, than apply into the LCM equation.

GCF(372,380) = 4
LCM(372,380) = ( 372 × 380) / 4
LCM(372,380) = 141360 / 4
LCM(372,380) = 35340

Properties of LCM 372 and 380

(i) The LCM of 380 and 372 is associative

LCM of 372 and 380 = LCM of 380 and 372

Related Least Common Multiples of 372

Related Least Common Multiples of 380

Frequently Asked Questions on LCM of 372 and 380

1. What is the LCM of 372 and 380?

Answer: LCM of 372 and 380 is 35340.

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 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

4. How to Find the LCM of 372 and 380?

Answer:

Least Common Multiple of 372 and 380 = 35340

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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

LCM = 35340 = 2 x 2 x 3 x 5 x 19 x 31

Step 4: Therefore, the least common multiple of 372 and 380 is 35340.