Least Common Multiple of 370 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 370 and 372 the smallest integer that is 68820 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 372 is 68820.

LCM(370,372) = 68820

LCM of 370 and 372

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

LCM of:
and

Least Common Multiple of 370 and 372

LCM of 370 and 372 is 68820

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 372. First we will calculate the prime factors of 370 and 372.

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

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 370 and 372.

LCM(370,372) = 22×31×51×311×371
LCM(370,372) = 68820

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 370 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 370 and 372, than apply into the LCM equation.

GCF(370,372) = 2
LCM(370,372) = ( 370 × 372) / 2
LCM(370,372) = 137640 / 2
LCM(370,372) = 68820

Properties of LCM 370 and 372

(i) The LCM of 372 and 370 is associative

LCM of 370 and 372 = LCM of 372 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 370 and 372

1. What is the LCM of 370 and 372?

Answer: LCM of 370 and 372 is 68820.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

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 370 and 372?

Answer:

Least Common Multiple of 370 and 372 = 68820

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

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 = 68820 = 2 x 2 x 3 x 5 x 31 x 37

Step 4: Therefore, the least common multiple of 370 and 372 is 68820.