Least Common Multiple of 89140 and 89147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89140 and 89147 the smallest integer that is 7946563580 that is divisible by both numbers.

Least Common Multiple (LCM) of 89140 and 89147 is 7946563580.

LCM(89140,89147) = 7946563580

LCM of 89140 and 89147

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

LCM of:
and

Least Common Multiple of 89140 and 89147

LCM of 89140 and 89147 is 7946563580

Least common multiple can be found by multiplying the highest exponent prime factors of 89140 and 89147. First we will calculate the prime factors of 89140 and 89147.

Prime Factorization of 89140


2 89140
2 44570
5 22285
4457 4457
1

Prime factors of 89140 are 2, 5,4457. Prime factorization of 89140 in exponential form is:

89140 = 22×51×44571

Prime Factorization of 89147


239 89147
373 373
1

Prime factors of 89147 are 239,373. Prime factorization of 89147 in exponential form is:

89147 = 2391×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 89140 and 89147.

LCM(89140,89147) = 22×51×2391×3731×44571
LCM(89140,89147) = 7946563580

Factors of 89140

List of positive integer factors of 89140 that divides 89140 without a remainder.

1, 2, 4, 5, 10, 20, 4457, 8914, 17828, 22285, 44570, 89140

Factors of 89147

List of positive integer factors of 89147 that divides 89147 without a remainder.

1, 239, 373, 89147

Least Common Multiple of 89140 and 89147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89140 and 89147, than apply into the LCM equation.

GCF(89140,89147) = 1
LCM(89140,89147) = ( 89140 × 89147) / 1
LCM(89140,89147) = 7946563580 / 1
LCM(89140,89147) = 7946563580

Properties of LCM 89140 and 89147

(i) The LCM of 89147 and 89140 is associative

LCM of 89140 and 89147 = LCM of 89147 and 89140

Related Least Common Multiples of 89140

Related Least Common Multiples of 89147

Frequently Asked Questions on LCM of 89140 and 89147

1. What is the LCM of 89140 and 89147?

Answer: LCM of 89140 and 89147 is 7946563580.

2. What are the Factors of 89140?

Answer: Factors of 89140 are 1, 2, 4, 5, 10, 20, 4457, 8914, 17828, 22285, 44570, 89140. There are 12 integers that are factors of 89140. The greatest factor of 89140 is 89140.

3. What are the Factors of 89147?

Answer: Factors of 89147 are 1, 239, 373, 89147. There are 4 integers that are factors of 89147. The greatest factor of 89147 is 89147.

4. How to Find the LCM of 89140 and 89147?

Answer:

Least Common Multiple of 89140 and 89147 = 7946563580

Step 1: Find the prime factorization of 89140

89140 = 2 x 2 x 5 x 4457

Step 2: Find the prime factorization of 89147

89147 = 239 x 373

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

LCM = 7946563580 = 2 x 2 x 5 x 239 x 373 x 4457

Step 4: Therefore, the least common multiple of 89140 and 89147 is 7946563580.