Least Common Multiple of 89126 and 89130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89126 and 89130 the smallest integer that is 3971900190 that is divisible by both numbers.

Least Common Multiple (LCM) of 89126 and 89130 is 3971900190.

LCM(89126,89130) = 3971900190

LCM of 89126 and 89130

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

LCM of:
and

Least Common Multiple of 89126 and 89130

LCM of 89126 and 89130 is 3971900190

Least common multiple can be found by multiplying the highest exponent prime factors of 89126 and 89130. First we will calculate the prime factors of 89126 and 89130.

Prime Factorization of 89126


2 89126
44563 44563
1

Prime factors of 89126 are 2,44563. Prime factorization of 89126 in exponential form is:

89126 = 21×445631

Prime Factorization of 89130


2 89130
3 44565
5 14855
2971 2971
1

Prime factors of 89130 are 2, 3, 5,2971. Prime factorization of 89130 in exponential form is:

89130 = 21×31×51×29711

Now multiplying the highest exponent prime factors to calculate the LCM of 89126 and 89130.

LCM(89126,89130) = 21×31×51×29711×445631
LCM(89126,89130) = 3971900190

Factors of 89126

List of positive integer factors of 89126 that divides 89126 without a remainder.

1, 2, 44563, 89126

Factors of 89130

List of positive integer factors of 89130 that divides 89130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565, 89130

Least Common Multiple of 89126 and 89130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89126 and 89130, than apply into the LCM equation.

GCF(89126,89130) = 2
LCM(89126,89130) = ( 89126 × 89130) / 2
LCM(89126,89130) = 7943800380 / 2
LCM(89126,89130) = 3971900190

Properties of LCM 89126 and 89130

(i) The LCM of 89130 and 89126 is associative

LCM of 89126 and 89130 = LCM of 89130 and 89126

Related Least Common Multiples of 89126

Related Least Common Multiples of 89130

Frequently Asked Questions on LCM of 89126 and 89130

1. What is the LCM of 89126 and 89130?

Answer: LCM of 89126 and 89130 is 3971900190.

2. What are the Factors of 89126?

Answer: Factors of 89126 are 1, 2, 44563, 89126. There are 4 integers that are factors of 89126. The greatest factor of 89126 is 89126.

3. What are the Factors of 89130?

Answer: Factors of 89130 are 1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565, 89130. There are 16 integers that are factors of 89130. The greatest factor of 89130 is 89130.

4. How to Find the LCM of 89126 and 89130?

Answer:

Least Common Multiple of 89126 and 89130 = 3971900190

Step 1: Find the prime factorization of 89126

89126 = 2 x 44563

Step 2: Find the prime factorization of 89130

89130 = 2 x 3 x 5 x 2971

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

LCM = 3971900190 = 2 x 3 x 5 x 2971 x 44563

Step 4: Therefore, the least common multiple of 89126 and 89130 is 3971900190.