Least Common Multiple of 89118 and 89125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89118 and 89125 the smallest integer that is 7942641750 that is divisible by both numbers.

Least Common Multiple (LCM) of 89118 and 89125 is 7942641750.

LCM(89118,89125) = 7942641750

LCM of 89118 and 89125

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

LCM of:
and

Least Common Multiple of 89118 and 89125

LCM of 89118 and 89125 is 7942641750

Least common multiple can be found by multiplying the highest exponent prime factors of 89118 and 89125. First we will calculate the prime factors of 89118 and 89125.

Prime Factorization of 89118


2 89118
3 44559
3 14853
4951 4951
1

Prime factors of 89118 are 2, 3,4951. Prime factorization of 89118 in exponential form is:

89118 = 21×32×49511

Prime Factorization of 89125


5 89125
5 17825
5 3565
23 713
31 31
1

Prime factors of 89125 are 5, 23,31. Prime factorization of 89125 in exponential form is:

89125 = 53×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 89118 and 89125.

LCM(89118,89125) = 21×32×53×231×311×49511
LCM(89118,89125) = 7942641750

Factors of 89118

List of positive integer factors of 89118 that divides 89118 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118

Factors of 89125

List of positive integer factors of 89125 that divides 89125 without a remainder.

1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125

Least Common Multiple of 89118 and 89125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89118 and 89125, than apply into the LCM equation.

GCF(89118,89125) = 1
LCM(89118,89125) = ( 89118 × 89125) / 1
LCM(89118,89125) = 7942641750 / 1
LCM(89118,89125) = 7942641750

Properties of LCM 89118 and 89125

(i) The LCM of 89125 and 89118 is associative

LCM of 89118 and 89125 = LCM of 89125 and 89118

Related Least Common Multiples of 89118

Related Least Common Multiples of 89125

Frequently Asked Questions on LCM of 89118 and 89125

1. What is the LCM of 89118 and 89125?

Answer: LCM of 89118 and 89125 is 7942641750.

2. What are the Factors of 89118?

Answer: Factors of 89118 are 1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118. There are 12 integers that are factors of 89118. The greatest factor of 89118 is 89118.

3. What are the Factors of 89125?

Answer: Factors of 89125 are 1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125. There are 16 integers that are factors of 89125. The greatest factor of 89125 is 89125.

4. How to Find the LCM of 89118 and 89125?

Answer:

Least Common Multiple of 89118 and 89125 = 7942641750

Step 1: Find the prime factorization of 89118

89118 = 2 x 3 x 3 x 4951

Step 2: Find the prime factorization of 89125

89125 = 5 x 5 x 5 x 23 x 31

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

LCM = 7942641750 = 2 x 3 x 3 x 5 x 5 x 5 x 23 x 31 x 4951

Step 4: Therefore, the least common multiple of 89118 and 89125 is 7942641750.