Least Common Multiple of 4164 and 4170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4164 and 4170 the smallest integer that is 2893980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4164 and 4170 is 2893980.

LCM(4164,4170) = 2893980

LCM of 4164 and 4170

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

LCM of:
and

Least Common Multiple of 4164 and 4170

LCM of 4164 and 4170 is 2893980

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4170. First we will calculate the prime factors of 4164 and 4170.

Prime Factorization of 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2, 3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

Prime Factorization of 4170


2 4170
3 2085
5 695
139 139
1

Prime factors of 4170 are 2, 3, 5,139. Prime factorization of 4170 in exponential form is:

4170 = 21×31×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4164 and 4170.

LCM(4164,4170) = 22×31×51×1391×3471
LCM(4164,4170) = 2893980

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164

Factors of 4170

List of positive integer factors of 4170 that divides 4170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170

Least Common Multiple of 4164 and 4170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4164 and 4170, than apply into the LCM equation.

GCF(4164,4170) = 6
LCM(4164,4170) = ( 4164 × 4170) / 6
LCM(4164,4170) = 17363880 / 6
LCM(4164,4170) = 2893980

Properties of LCM 4164 and 4170

(i) The LCM of 4170 and 4164 is associative

LCM of 4164 and 4170 = LCM of 4170 and 4164

Related Least Common Multiples of 4164

Related Least Common Multiples of 4170

Frequently Asked Questions on LCM of 4164 and 4170

1. What is the LCM of 4164 and 4170?

Answer: LCM of 4164 and 4170 is 2893980.

2. What are the Factors of 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

3. What are the Factors of 4170?

Answer: Factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. There are 16 integers that are factors of 4170. The greatest factor of 4170 is 4170.

4. How to Find the LCM of 4164 and 4170?

Answer:

Least Common Multiple of 4164 and 4170 = 2893980

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

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

LCM = 2893980 = 2 x 2 x 3 x 5 x 139 x 347

Step 4: Therefore, the least common multiple of 4164 and 4170 is 2893980.