Least Common Multiple of 371 and 372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 371 and 372 the smallest integer that is 138012 that is divisible by both numbers.

Least Common Multiple (LCM) of 371 and 372 is 138012.

LCM(371,372) = 138012

LCM of 371 and 372

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

LCM of:
and

Least Common Multiple of 371 and 372

LCM of 371 and 372 is 138012

Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 372. First we will calculate the prime factors of 371 and 372.

Prime Factorization of 371


7 371
53 53
1

Prime factors of 371 are 7,53. Prime factorization of 371 in exponential form is:

371 = 71×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 372.

LCM(371,372) = 22×31×71×311×531
LCM(371,372) = 138012

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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

Least Common Multiple of 371 and 372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 372, than apply into the LCM equation.

GCF(371,372) = 1
LCM(371,372) = ( 371 × 372) / 1
LCM(371,372) = 138012 / 1
LCM(371,372) = 138012

Properties of LCM 371 and 372

(i) The LCM of 372 and 371 is associative

LCM of 371 and 372 = LCM of 372 and 371

Related Least Common Multiples of 371

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 371 and 372

1. What is the LCM of 371 and 372?

Answer: LCM of 371 and 372 is 138012.

2. What are the Factors of 371?

Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.

3. 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.

4. How to Find the LCM of 371 and 372?

Answer:

Least Common Multiple of 371 and 372 = 138012

Step 1: Find the prime factorization of 371

371 = 7 x 53

Step 2: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

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

LCM = 138012 = 2 x 2 x 3 x 7 x 31 x 53

Step 4: Therefore, the least common multiple of 371 and 372 is 138012.