Least Common Multiple of 89147 and 89154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89147 and 89154 the smallest integer that is 7947811638 that is divisible by both numbers.

Least Common Multiple (LCM) of 89147 and 89154 is 7947811638.

LCM(89147,89154) = 7947811638

LCM of 89147 and 89154

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

LCM of:
and

Least Common Multiple of 89147 and 89154

LCM of 89147 and 89154 is 7947811638

Least common multiple can be found by multiplying the highest exponent prime factors of 89147 and 89154. First we will calculate the prime factors of 89147 and 89154.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 89147 and 89154.

LCM(89147,89154) = 21×33×131×1271×2391×3731
LCM(89147,89154) = 7947811638

Factors of 89147

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

1, 239, 373, 89147

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

Least Common Multiple of 89147 and 89154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89147 and 89154, than apply into the LCM equation.

GCF(89147,89154) = 1
LCM(89147,89154) = ( 89147 × 89154) / 1
LCM(89147,89154) = 7947811638 / 1
LCM(89147,89154) = 7947811638

Properties of LCM 89147 and 89154

(i) The LCM of 89154 and 89147 is associative

LCM of 89147 and 89154 = LCM of 89154 and 89147

Related Least Common Multiples of 89147

Related Least Common Multiples of 89154

Frequently Asked Questions on LCM of 89147 and 89154

1. What is the LCM of 89147 and 89154?

Answer: LCM of 89147 and 89154 is 7947811638.

2. 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.

3. 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.

4. How to Find the LCM of 89147 and 89154?

Answer:

Least Common Multiple of 89147 and 89154 = 7947811638

Step 1: Find the prime factorization of 89147

89147 = 239 x 373

Step 2: Find the prime factorization of 89154

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

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

LCM = 7947811638 = 2 x 3 x 3 x 3 x 13 x 127 x 239 x 373

Step 4: Therefore, the least common multiple of 89147 and 89154 is 7947811638.