Least Common Multiple of 89123 and 89127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89123 and 89127 the smallest integer that is 7943265621 that is divisible by both numbers.

Least Common Multiple (LCM) of 89123 and 89127 is 7943265621.

LCM(89123,89127) = 7943265621

LCM of 89123 and 89127

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

LCM of:
and

Least Common Multiple of 89123 and 89127

LCM of 89123 and 89127 is 7943265621

Least common multiple can be found by multiplying the highest exponent prime factors of 89123 and 89127. First we will calculate the prime factors of 89123 and 89127.

Prime Factorization of 89123


89123 89123
1

Prime factors of 89123 are 89123. Prime factorization of 89123 in exponential form is:

89123 = 891231

Prime Factorization of 89127


3 89127
3 29709
3 9903
3301 3301
1

Prime factors of 89127 are 3,3301. Prime factorization of 89127 in exponential form is:

89127 = 33×33011

Now multiplying the highest exponent prime factors to calculate the LCM of 89123 and 89127.

LCM(89123,89127) = 33×33011×891231
LCM(89123,89127) = 7943265621

Factors of 89123

List of positive integer factors of 89123 that divides 89123 without a remainder.

1, 89123

Factors of 89127

List of positive integer factors of 89127 that divides 89127 without a remainder.

1, 3, 9, 27, 3301, 9903, 29709, 89127

Least Common Multiple of 89123 and 89127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89123 and 89127, than apply into the LCM equation.

GCF(89123,89127) = 1
LCM(89123,89127) = ( 89123 × 89127) / 1
LCM(89123,89127) = 7943265621 / 1
LCM(89123,89127) = 7943265621

Properties of LCM 89123 and 89127

(i) The LCM of 89127 and 89123 is associative

LCM of 89123 and 89127 = LCM of 89127 and 89123

Related Least Common Multiples of 89123

Related Least Common Multiples of 89127

Frequently Asked Questions on LCM of 89123 and 89127

1. What is the LCM of 89123 and 89127?

Answer: LCM of 89123 and 89127 is 7943265621.

2. What are the Factors of 89123?

Answer: Factors of 89123 are 1, 89123. There are 2 integers that are factors of 89123. The greatest factor of 89123 is 89123.

3. What are the Factors of 89127?

Answer: Factors of 89127 are 1, 3, 9, 27, 3301, 9903, 29709, 89127. There are 8 integers that are factors of 89127. The greatest factor of 89127 is 89127.

4. How to Find the LCM of 89123 and 89127?

Answer:

Least Common Multiple of 89123 and 89127 = 7943265621

Step 1: Find the prime factorization of 89123

89123 = 89123

Step 2: Find the prime factorization of 89127

89127 = 3 x 3 x 3 x 3301

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

LCM = 7943265621 = 3 x 3 x 3 x 3301 x 89123

Step 4: Therefore, the least common multiple of 89123 and 89127 is 7943265621.