Least Common Multiple of 37176 and 37184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 37176 and 37184 the smallest integer that is 172794048 that is divisible by both numbers.

Least Common Multiple (LCM) of 37176 and 37184 is 172794048.

LCM(37176,37184) = 172794048

LCM of 37176 and 37184

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

LCM of:
and

Least Common Multiple of 37176 and 37184

LCM of 37176 and 37184 is 172794048

Least common multiple can be found by multiplying the highest exponent prime factors of 37176 and 37184. First we will calculate the prime factors of 37176 and 37184.

Prime Factorization of 37176


2 37176
2 18588
2 9294
3 4647
1549 1549
1

Prime factors of 37176 are 2, 3,1549. Prime factorization of 37176 in exponential form is:

37176 = 23×31×15491

Prime Factorization of 37184


2 37184
2 18592
2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 37184 are 2, 7,83. Prime factorization of 37184 in exponential form is:

37184 = 26×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 37176 and 37184.

LCM(37176,37184) = 26×31×71×831×15491
LCM(37176,37184) = 172794048

Factors of 37176

List of positive integer factors of 37176 that divides 37176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 37176

Factors of 37184

List of positive integer factors of 37184 that divides 37184 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 83, 112, 166, 224, 332, 448, 581, 664, 1162, 1328, 2324, 2656, 4648, 5312, 9296, 18592, 37184

Least Common Multiple of 37176 and 37184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37176 and 37184, than apply into the LCM equation.

GCF(37176,37184) = 8
LCM(37176,37184) = ( 37176 × 37184) / 8
LCM(37176,37184) = 1382352384 / 8
LCM(37176,37184) = 172794048

Properties of LCM 37176 and 37184

(i) The LCM of 37184 and 37176 is associative

LCM of 37176 and 37184 = LCM of 37184 and 37176

Related Least Common Multiples of 37176

Related Least Common Multiples of 37184

Frequently Asked Questions on LCM of 37176 and 37184

1. What is the LCM of 37176 and 37184?

Answer: LCM of 37176 and 37184 is 172794048.

2. What are the Factors of 37176?

Answer: Factors of 37176 are 1, 2, 3, 4, 6, 8, 12, 24, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 37176. There are 16 integers that are factors of 37176. The greatest factor of 37176 is 37176.

3. What are the Factors of 37184?

Answer: Factors of 37184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 83, 112, 166, 224, 332, 448, 581, 664, 1162, 1328, 2324, 2656, 4648, 5312, 9296, 18592, 37184. There are 28 integers that are factors of 37184. The greatest factor of 37184 is 37184.

4. How to Find the LCM of 37176 and 37184?

Answer:

Least Common Multiple of 37176 and 37184 = 172794048

Step 1: Find the prime factorization of 37176

37176 = 2 x 2 x 2 x 3 x 1549

Step 2: Find the prime factorization of 37184

37184 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 83

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

LCM = 172794048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 83 x 1549

Step 4: Therefore, the least common multiple of 37176 and 37184 is 172794048.