Least Common Multiple of 372 and 375

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 375 the smallest integer that is 46500 that is divisible by both numbers.

Least Common Multiple (LCM) of 372 and 375 is 46500.

LCM(372,375) = 46500

LCM of 372 and 375

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

LCM of:
and

Least Common Multiple of 372 and 375

LCM of 372 and 375 is 46500

Least common multiple can be found by multiplying the highest exponent prime factors of 372 and 375. First we will calculate the prime factors of 372 and 375.

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 375


3 375
5 125
5 25
5 5
1

Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:

375 = 31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 372 and 375.

LCM(372,375) = 22×31×53×311
LCM(372,375) = 46500

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 375

List of positive integer factors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Least Common Multiple of 372 and 375 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 375, than apply into the LCM equation.

GCF(372,375) = 3
LCM(372,375) = ( 372 × 375) / 3
LCM(372,375) = 139500 / 3
LCM(372,375) = 46500

Properties of LCM 372 and 375

(i) The LCM of 375 and 372 is associative

LCM of 372 and 375 = LCM of 375 and 372

Related Least Common Multiples of 372

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 372 and 375

1. What is the LCM of 372 and 375?

Answer: LCM of 372 and 375 is 46500.

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 375?

Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.

4. How to Find the LCM of 372 and 375?

Answer:

Least Common Multiple of 372 and 375 = 46500

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

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

LCM = 46500 = 2 x 2 x 3 x 5 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 372 and 375 is 46500.