Least Common Multiple of 37176 and 37182

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 37182 the smallest integer that is 230379672 that is divisible by both numbers.

Least Common Multiple (LCM) of 37176 and 37182 is 230379672.

LCM(37176,37182) = 230379672

LCM of 37176 and 37182

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

LCM of:
and

Least Common Multiple of 37176 and 37182

LCM of 37176 and 37182 is 230379672

Least common multiple can be found by multiplying the highest exponent prime factors of 37176 and 37182. First we will calculate the prime factors of 37176 and 37182.

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 37182


2 37182
3 18591
6197 6197
1

Prime factors of 37182 are 2, 3,6197. Prime factorization of 37182 in exponential form is:

37182 = 21×31×61971

Now multiplying the highest exponent prime factors to calculate the LCM of 37176 and 37182.

LCM(37176,37182) = 23×31×15491×61971
LCM(37176,37182) = 230379672

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 37182

List of positive integer factors of 37182 that divides 37182 without a remainder.

1, 2, 3, 6, 6197, 12394, 18591, 37182

Least Common Multiple of 37176 and 37182 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 37182, than apply into the LCM equation.

GCF(37176,37182) = 6
LCM(37176,37182) = ( 37176 × 37182) / 6
LCM(37176,37182) = 1382278032 / 6
LCM(37176,37182) = 230379672

Properties of LCM 37176 and 37182

(i) The LCM of 37182 and 37176 is associative

LCM of 37176 and 37182 = LCM of 37182 and 37176

Related Least Common Multiples of 37176

Related Least Common Multiples of 37182

Frequently Asked Questions on LCM of 37176 and 37182

1. What is the LCM of 37176 and 37182?

Answer: LCM of 37176 and 37182 is 230379672.

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 37182?

Answer: Factors of 37182 are 1, 2, 3, 6, 6197, 12394, 18591, 37182. There are 8 integers that are factors of 37182. The greatest factor of 37182 is 37182.

4. How to Find the LCM of 37176 and 37182?

Answer:

Least Common Multiple of 37176 and 37182 = 230379672

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 37182

37182 = 2 x 3 x 6197

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

LCM = 230379672 = 2 x 2 x 2 x 3 x 1549 x 6197

Step 4: Therefore, the least common multiple of 37176 and 37182 is 230379672.