Least Common Multiple of 372 and 377

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 377 the smallest integer that is 140244 that is divisible by both numbers.

Least Common Multiple (LCM) of 372 and 377 is 140244.

LCM(372,377) = 140244

LCM of 372 and 377

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

LCM of:
and

Least Common Multiple of 372 and 377

LCM of 372 and 377 is 140244

Least common multiple can be found by multiplying the highest exponent prime factors of 372 and 377. First we will calculate the prime factors of 372 and 377.

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 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 372 and 377.

LCM(372,377) = 22×31×131×291×311
LCM(372,377) = 140244

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 377

List of positive integer factors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Least Common Multiple of 372 and 377 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 377, than apply into the LCM equation.

GCF(372,377) = 1
LCM(372,377) = ( 372 × 377) / 1
LCM(372,377) = 140244 / 1
LCM(372,377) = 140244

Properties of LCM 372 and 377

(i) The LCM of 377 and 372 is associative

LCM of 372 and 377 = LCM of 377 and 372

Related Least Common Multiples of 372

Related Least Common Multiples of 377

Frequently Asked Questions on LCM of 372 and 377

1. What is the LCM of 372 and 377?

Answer: LCM of 372 and 377 is 140244.

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 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

4. How to Find the LCM of 372 and 377?

Answer:

Least Common Multiple of 372 and 377 = 140244

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 377

377 = 13 x 29

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

LCM = 140244 = 2 x 2 x 3 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 372 and 377 is 140244.