Least Common Multiple of 4164 and 4168

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 4168 the smallest integer that is 4338888 that is divisible by both numbers.

Least Common Multiple (LCM) of 4164 and 4168 is 4338888.

LCM(4164,4168) = 4338888

LCM of 4164 and 4168

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

LCM of:
and

Least Common Multiple of 4164 and 4168

LCM of 4164 and 4168 is 4338888

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4168. First we will calculate the prime factors of 4164 and 4168.

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 4168


2 4168
2 2084
2 1042
521 521
1

Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:

4168 = 23×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 4164 and 4168.

LCM(4164,4168) = 23×31×3471×5211
LCM(4164,4168) = 4338888

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 4168

List of positive integer factors of 4168 that divides 4168 without a remainder.

1, 2, 4, 8, 521, 1042, 2084, 4168

Least Common Multiple of 4164 and 4168 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 4168, than apply into the LCM equation.

GCF(4164,4168) = 4
LCM(4164,4168) = ( 4164 × 4168) / 4
LCM(4164,4168) = 17355552 / 4
LCM(4164,4168) = 4338888

Properties of LCM 4164 and 4168

(i) The LCM of 4168 and 4164 is associative

LCM of 4164 and 4168 = LCM of 4168 and 4164

Related Least Common Multiples of 4164

Related Least Common Multiples of 4168

Frequently Asked Questions on LCM of 4164 and 4168

1. What is the LCM of 4164 and 4168?

Answer: LCM of 4164 and 4168 is 4338888.

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 4168?

Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.

4. How to Find the LCM of 4164 and 4168?

Answer:

Least Common Multiple of 4164 and 4168 = 4338888

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4168

4168 = 2 x 2 x 2 x 521

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

LCM = 4338888 = 2 x 2 x 2 x 3 x 347 x 521

Step 4: Therefore, the least common multiple of 4164 and 4168 is 4338888.