Least Common Multiple of 366 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 366 and 372 the smallest integer that is 22692 that is divisible by both numbers.

Least Common Multiple (LCM) of 366 and 372 is 22692.

LCM(366,372) = 22692

LCM of 366 and 372

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

LCM of:
and

Least Common Multiple of 366 and 372

LCM of 366 and 372 is 22692

Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 372. First we will calculate the prime factors of 366 and 372.

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 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 366 and 372.

LCM(366,372) = 22×31×311×611
LCM(366,372) = 22692

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 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 366 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 366 and 372, than apply into the LCM equation.

GCF(366,372) = 6
LCM(366,372) = ( 366 × 372) / 6
LCM(366,372) = 136152 / 6
LCM(366,372) = 22692

Properties of LCM 366 and 372

(i) The LCM of 372 and 366 is associative

LCM of 366 and 372 = LCM of 372 and 366

Related Least Common Multiples of 366

Related Least Common Multiples of 372

Frequently Asked Questions on LCM of 366 and 372

1. What is the LCM of 366 and 372?

Answer: LCM of 366 and 372 is 22692.

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 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 366 and 372?

Answer:

Least Common Multiple of 366 and 372 = 22692

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

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 = 22692 = 2 x 2 x 3 x 31 x 61

Step 4: Therefore, the least common multiple of 366 and 372 is 22692.