Least Common Multiple of 89142 and 89146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89142 and 89146 the smallest integer that is 3973326366 that is divisible by both numbers.

Least Common Multiple (LCM) of 89142 and 89146 is 3973326366.

LCM(89142,89146) = 3973326366

LCM of 89142 and 89146

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

LCM of:
and

Least Common Multiple of 89142 and 89146

LCM of 89142 and 89146 is 3973326366

Least common multiple can be found by multiplying the highest exponent prime factors of 89142 and 89146. First we will calculate the prime factors of 89142 and 89146.

Prime Factorization of 89142


2 89142
3 44571
83 14857
179 179
1

Prime factors of 89142 are 2, 3, 83,179. Prime factorization of 89142 in exponential form is:

89142 = 21×31×831×1791

Prime Factorization of 89146


2 89146
29 44573
29 1537
53 53
1

Prime factors of 89146 are 2, 29,53. Prime factorization of 89146 in exponential form is:

89146 = 21×292×531

Now multiplying the highest exponent prime factors to calculate the LCM of 89142 and 89146.

LCM(89142,89146) = 21×31×292×531×831×1791
LCM(89142,89146) = 3973326366

Factors of 89142

List of positive integer factors of 89142 that divides 89142 without a remainder.

1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571, 89142

Factors of 89146

List of positive integer factors of 89146 that divides 89146 without a remainder.

1, 2, 29, 53, 58, 106, 841, 1537, 1682, 3074, 44573, 89146

Least Common Multiple of 89142 and 89146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89142 and 89146, than apply into the LCM equation.

GCF(89142,89146) = 2
LCM(89142,89146) = ( 89142 × 89146) / 2
LCM(89142,89146) = 7946652732 / 2
LCM(89142,89146) = 3973326366

Properties of LCM 89142 and 89146

(i) The LCM of 89146 and 89142 is associative

LCM of 89142 and 89146 = LCM of 89146 and 89142

Related Least Common Multiples of 89142

Related Least Common Multiples of 89146

Frequently Asked Questions on LCM of 89142 and 89146

1. What is the LCM of 89142 and 89146?

Answer: LCM of 89142 and 89146 is 3973326366.

2. What are the Factors of 89142?

Answer: Factors of 89142 are 1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571, 89142. There are 16 integers that are factors of 89142. The greatest factor of 89142 is 89142.

3. What are the Factors of 89146?

Answer: Factors of 89146 are 1, 2, 29, 53, 58, 106, 841, 1537, 1682, 3074, 44573, 89146. There are 12 integers that are factors of 89146. The greatest factor of 89146 is 89146.

4. How to Find the LCM of 89142 and 89146?

Answer:

Least Common Multiple of 89142 and 89146 = 3973326366

Step 1: Find the prime factorization of 89142

89142 = 2 x 3 x 83 x 179

Step 2: Find the prime factorization of 89146

89146 = 2 x 29 x 29 x 53

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

LCM = 3973326366 = 2 x 3 x 29 x 29 x 53 x 83 x 179

Step 4: Therefore, the least common multiple of 89142 and 89146 is 3973326366.