Least Common Multiple of 4169 and 4175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4169 and 4175 the smallest integer that is 17405575 that is divisible by both numbers.

Least Common Multiple (LCM) of 4169 and 4175 is 17405575.

LCM(4169,4175) = 17405575

LCM of 4169 and 4175

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

LCM of:
and

Least Common Multiple of 4169 and 4175

LCM of 4169 and 4175 is 17405575

Least common multiple can be found by multiplying the highest exponent prime factors of 4169 and 4175. First we will calculate the prime factors of 4169 and 4175.

Prime Factorization of 4169


11 4169
379 379
1

Prime factors of 4169 are 11,379. Prime factorization of 4169 in exponential form is:

4169 = 111×3791

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4169 and 4175.

LCM(4169,4175) = 52×111×1671×3791
LCM(4169,4175) = 17405575

Factors of 4169

List of positive integer factors of 4169 that divides 4169 without a remainder.

1, 11, 379, 4169

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

Least Common Multiple of 4169 and 4175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4169 and 4175, than apply into the LCM equation.

GCF(4169,4175) = 1
LCM(4169,4175) = ( 4169 × 4175) / 1
LCM(4169,4175) = 17405575 / 1
LCM(4169,4175) = 17405575

Properties of LCM 4169 and 4175

(i) The LCM of 4175 and 4169 is associative

LCM of 4169 and 4175 = LCM of 4175 and 4169

Related Least Common Multiples of 4169

Related Least Common Multiples of 4175

Frequently Asked Questions on LCM of 4169 and 4175

1. What is the LCM of 4169 and 4175?

Answer: LCM of 4169 and 4175 is 17405575.

2. What are the Factors of 4169?

Answer: Factors of 4169 are 1, 11, 379, 4169. There are 4 integers that are factors of 4169. The greatest factor of 4169 is 4169.

3. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

4. How to Find the LCM of 4169 and 4175?

Answer:

Least Common Multiple of 4169 and 4175 = 17405575

Step 1: Find the prime factorization of 4169

4169 = 11 x 379

Step 2: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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

LCM = 17405575 = 5 x 5 x 11 x 167 x 379

Step 4: Therefore, the least common multiple of 4169 and 4175 is 17405575.