Least Common Multiple of 89154 and 89161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89154 and 89161 the smallest integer that is 7949059794 that is divisible by both numbers.

Least Common Multiple (LCM) of 89154 and 89161 is 7949059794.

LCM(89154,89161) = 7949059794

LCM of 89154 and 89161

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

LCM of:
and

Least Common Multiple of 89154 and 89161

LCM of 89154 and 89161 is 7949059794

Least common multiple can be found by multiplying the highest exponent prime factors of 89154 and 89161. First we will calculate the prime factors of 89154 and 89161.

Prime Factorization of 89154


2 89154
3 44577
3 14859
3 4953
13 1651
127 127
1

Prime factors of 89154 are 2, 3, 13,127. Prime factorization of 89154 in exponential form is:

89154 = 21×33×131×1271

Prime Factorization of 89161


163 89161
547 547
1

Prime factors of 89161 are 163,547. Prime factorization of 89161 in exponential form is:

89161 = 1631×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 89154 and 89161.

LCM(89154,89161) = 21×33×131×1271×1631×5471
LCM(89154,89161) = 7949059794

Factors of 89154

List of positive integer factors of 89154 that divides 89154 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 127, 234, 254, 351, 381, 702, 762, 1143, 1651, 2286, 3302, 3429, 4953, 6858, 9906, 14859, 29718, 44577, 89154

Factors of 89161

List of positive integer factors of 89161 that divides 89161 without a remainder.

1, 163, 547, 89161

Least Common Multiple of 89154 and 89161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89154 and 89161, than apply into the LCM equation.

GCF(89154,89161) = 1
LCM(89154,89161) = ( 89154 × 89161) / 1
LCM(89154,89161) = 7949059794 / 1
LCM(89154,89161) = 7949059794

Properties of LCM 89154 and 89161

(i) The LCM of 89161 and 89154 is associative

LCM of 89154 and 89161 = LCM of 89161 and 89154

Related Least Common Multiples of 89154

Related Least Common Multiples of 89161

Frequently Asked Questions on LCM of 89154 and 89161

1. What is the LCM of 89154 and 89161?

Answer: LCM of 89154 and 89161 is 7949059794.

2. What are the Factors of 89154?

Answer: Factors of 89154 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 127, 234, 254, 351, 381, 702, 762, 1143, 1651, 2286, 3302, 3429, 4953, 6858, 9906, 14859, 29718, 44577, 89154. There are 32 integers that are factors of 89154. The greatest factor of 89154 is 89154.

3. What are the Factors of 89161?

Answer: Factors of 89161 are 1, 163, 547, 89161. There are 4 integers that are factors of 89161. The greatest factor of 89161 is 89161.

4. How to Find the LCM of 89154 and 89161?

Answer:

Least Common Multiple of 89154 and 89161 = 7949059794

Step 1: Find the prime factorization of 89154

89154 = 2 x 3 x 3 x 3 x 13 x 127

Step 2: Find the prime factorization of 89161

89161 = 163 x 547

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

LCM = 7949059794 = 2 x 3 x 3 x 3 x 13 x 127 x 163 x 547

Step 4: Therefore, the least common multiple of 89154 and 89161 is 7949059794.