Least Common Multiple of 89167 and 89172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89167 and 89172 the smallest integer that is 7951199724 that is divisible by both numbers.

Least Common Multiple (LCM) of 89167 and 89172 is 7951199724.

LCM(89167,89172) = 7951199724

LCM of 89167 and 89172

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

LCM of:
and

Least Common Multiple of 89167 and 89172

LCM of 89167 and 89172 is 7951199724

Least common multiple can be found by multiplying the highest exponent prime factors of 89167 and 89172. First we will calculate the prime factors of 89167 and 89172.

Prime Factorization of 89167


13 89167
19 6859
19 361
19 19
1

Prime factors of 89167 are 13,19. Prime factorization of 89167 in exponential form is:

89167 = 131×193

Prime Factorization of 89172


2 89172
2 44586
3 22293
3 7431
2477 2477
1

Prime factors of 89172 are 2, 3,2477. Prime factorization of 89172 in exponential form is:

89172 = 22×32×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 89167 and 89172.

LCM(89167,89172) = 22×32×131×193×24771
LCM(89167,89172) = 7951199724

Factors of 89167

List of positive integer factors of 89167 that divides 89167 without a remainder.

1, 13, 19, 247, 361, 4693, 6859, 89167

Factors of 89172

List of positive integer factors of 89172 that divides 89172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2477, 4954, 7431, 9908, 14862, 22293, 29724, 44586, 89172

Least Common Multiple of 89167 and 89172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89167 and 89172, than apply into the LCM equation.

GCF(89167,89172) = 1
LCM(89167,89172) = ( 89167 × 89172) / 1
LCM(89167,89172) = 7951199724 / 1
LCM(89167,89172) = 7951199724

Properties of LCM 89167 and 89172

(i) The LCM of 89172 and 89167 is associative

LCM of 89167 and 89172 = LCM of 89172 and 89167

Related Least Common Multiples of 89167

Related Least Common Multiples of 89172

Frequently Asked Questions on LCM of 89167 and 89172

1. What is the LCM of 89167 and 89172?

Answer: LCM of 89167 and 89172 is 7951199724.

2. What are the Factors of 89167?

Answer: Factors of 89167 are 1, 13, 19, 247, 361, 4693, 6859, 89167. There are 8 integers that are factors of 89167. The greatest factor of 89167 is 89167.

3. What are the Factors of 89172?

Answer: Factors of 89172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 2477, 4954, 7431, 9908, 14862, 22293, 29724, 44586, 89172. There are 18 integers that are factors of 89172. The greatest factor of 89172 is 89172.

4. How to Find the LCM of 89167 and 89172?

Answer:

Least Common Multiple of 89167 and 89172 = 7951199724

Step 1: Find the prime factorization of 89167

89167 = 13 x 19 x 19 x 19

Step 2: Find the prime factorization of 89172

89172 = 2 x 2 x 3 x 3 x 2477

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

LCM = 7951199724 = 2 x 2 x 3 x 3 x 13 x 19 x 19 x 19 x 2477

Step 4: Therefore, the least common multiple of 89167 and 89172 is 7951199724.