Least Common Multiple of 366 and 370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 366 and 370 the smallest integer that is 67710 that is divisible by both numbers.

Least Common Multiple (LCM) of 366 and 370 is 67710.

LCM(366,370) = 67710

LCM of 366 and 370

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

LCM of:
and

Least Common Multiple of 366 and 370

LCM of 366 and 370 is 67710

Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 370. First we will calculate the prime factors of 366 and 370.

Prime Factorization of 366


2 366
3 183
61 61
1

Prime factors of 366 are 2, 3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 366 and 370.

LCM(366,370) = 21×31×51×371×611
LCM(366,370) = 67710

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Factors of 370

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

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

Least Common Multiple of 366 and 370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 366 and 370, than apply into the LCM equation.

GCF(366,370) = 2
LCM(366,370) = ( 366 × 370) / 2
LCM(366,370) = 135420 / 2
LCM(366,370) = 67710

Properties of LCM 366 and 370

(i) The LCM of 370 and 366 is associative

LCM of 366 and 370 = LCM of 370 and 366

Related Least Common Multiples of 366

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 366 and 370

1. What is the LCM of 366 and 370?

Answer: LCM of 366 and 370 is 67710.

2. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

3. 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.

4. How to Find the LCM of 366 and 370?

Answer:

Least Common Multiple of 366 and 370 = 67710

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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

LCM = 67710 = 2 x 3 x 5 x 37 x 61

Step 4: Therefore, the least common multiple of 366 and 370 is 67710.