Least Common Multiple of 89174 and 89182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89174 and 89182 the smallest integer that is 3976357834 that is divisible by both numbers.

Least Common Multiple (LCM) of 89174 and 89182 is 3976357834.

LCM(89174,89182) = 3976357834

LCM of 89174 and 89182

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

LCM of:
and

Least Common Multiple of 89174 and 89182

LCM of 89174 and 89182 is 3976357834

Least common multiple can be found by multiplying the highest exponent prime factors of 89174 and 89182. First we will calculate the prime factors of 89174 and 89182.

Prime Factorization of 89174


2 89174
44587 44587
1

Prime factors of 89174 are 2,44587. Prime factorization of 89174 in exponential form is:

89174 = 21×445871

Prime Factorization of 89182


2 89182
17 44591
43 2623
61 61
1

Prime factors of 89182 are 2, 17, 43,61. Prime factorization of 89182 in exponential form is:

89182 = 21×171×431×611

Now multiplying the highest exponent prime factors to calculate the LCM of 89174 and 89182.

LCM(89174,89182) = 21×171×431×611×445871
LCM(89174,89182) = 3976357834

Factors of 89174

List of positive integer factors of 89174 that divides 89174 without a remainder.

1, 2, 44587, 89174

Factors of 89182

List of positive integer factors of 89182 that divides 89182 without a remainder.

1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182

Least Common Multiple of 89174 and 89182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89174 and 89182, than apply into the LCM equation.

GCF(89174,89182) = 2
LCM(89174,89182) = ( 89174 × 89182) / 2
LCM(89174,89182) = 7952715668 / 2
LCM(89174,89182) = 3976357834

Properties of LCM 89174 and 89182

(i) The LCM of 89182 and 89174 is associative

LCM of 89174 and 89182 = LCM of 89182 and 89174

Related Least Common Multiples of 89174

Related Least Common Multiples of 89182

Frequently Asked Questions on LCM of 89174 and 89182

1. What is the LCM of 89174 and 89182?

Answer: LCM of 89174 and 89182 is 3976357834.

2. What are the Factors of 89174?

Answer: Factors of 89174 are 1, 2, 44587, 89174. There are 4 integers that are factors of 89174. The greatest factor of 89174 is 89174.

3. What are the Factors of 89182?

Answer: Factors of 89182 are 1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182. There are 16 integers that are factors of 89182. The greatest factor of 89182 is 89182.

4. How to Find the LCM of 89174 and 89182?

Answer:

Least Common Multiple of 89174 and 89182 = 3976357834

Step 1: Find the prime factorization of 89174

89174 = 2 x 44587

Step 2: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

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

LCM = 3976357834 = 2 x 17 x 43 x 61 x 44587

Step 4: Therefore, the least common multiple of 89174 and 89182 is 3976357834.