Least Common Multiple of 89148 and 89155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89148 and 89155 the smallest integer that is 7947989940 that is divisible by both numbers.

Least Common Multiple (LCM) of 89148 and 89155 is 7947989940.

LCM(89148,89155) = 7947989940

LCM of 89148 and 89155

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

LCM of:
and

Least Common Multiple of 89148 and 89155

LCM of 89148 and 89155 is 7947989940

Least common multiple can be found by multiplying the highest exponent prime factors of 89148 and 89155. First we will calculate the prime factors of 89148 and 89155.

Prime Factorization of 89148


2 89148
2 44574
3 22287
17 7429
19 437
23 23
1

Prime factors of 89148 are 2, 3, 17, 19,23. Prime factorization of 89148 in exponential form is:

89148 = 22×31×171×191×231

Prime Factorization of 89155


5 89155
11 17831
1621 1621
1

Prime factors of 89155 are 5, 11,1621. Prime factorization of 89155 in exponential form is:

89155 = 51×111×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 89148 and 89155.

LCM(89148,89155) = 22×31×51×111×171×191×231×16211
LCM(89148,89155) = 7947989940

Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148

Factors of 89155

List of positive integer factors of 89155 that divides 89155 without a remainder.

1, 5, 11, 55, 1621, 8105, 17831, 89155

Least Common Multiple of 89148 and 89155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89148 and 89155, than apply into the LCM equation.

GCF(89148,89155) = 1
LCM(89148,89155) = ( 89148 × 89155) / 1
LCM(89148,89155) = 7947989940 / 1
LCM(89148,89155) = 7947989940

Properties of LCM 89148 and 89155

(i) The LCM of 89155 and 89148 is associative

LCM of 89148 and 89155 = LCM of 89155 and 89148

Related Least Common Multiples of 89148

Related Least Common Multiples of 89155

Frequently Asked Questions on LCM of 89148 and 89155

1. What is the LCM of 89148 and 89155?

Answer: LCM of 89148 and 89155 is 7947989940.

2. What are the Factors of 89148?

Answer: Factors of 89148 are 1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574, 89148. There are 48 integers that are factors of 89148. The greatest factor of 89148 is 89148.

3. What are the Factors of 89155?

Answer: Factors of 89155 are 1, 5, 11, 55, 1621, 8105, 17831, 89155. There are 8 integers that are factors of 89155. The greatest factor of 89155 is 89155.

4. How to Find the LCM of 89148 and 89155?

Answer:

Least Common Multiple of 89148 and 89155 = 7947989940

Step 1: Find the prime factorization of 89148

89148 = 2 x 2 x 3 x 17 x 19 x 23

Step 2: Find the prime factorization of 89155

89155 = 5 x 11 x 1621

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

LCM = 7947989940 = 2 x 2 x 3 x 5 x 11 x 17 x 19 x 23 x 1621

Step 4: Therefore, the least common multiple of 89148 and 89155 is 7947989940.