Least Common Multiple of 4116 and 4124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4116 and 4124 the smallest integer that is 4243596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4116 and 4124 is 4243596.

LCM(4116,4124) = 4243596

LCM of 4116 and 4124

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

LCM of:
and

Least Common Multiple of 4116 and 4124

LCM of 4116 and 4124 is 4243596

Least common multiple can be found by multiplying the highest exponent prime factors of 4116 and 4124. First we will calculate the prime factors of 4116 and 4124.

Prime Factorization of 4116


2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 4116 are 2, 3,7. Prime factorization of 4116 in exponential form is:

4116 = 22×31×73

Prime Factorization of 4124


2 4124
2 2062
1031 1031
1

Prime factors of 4124 are 2,1031. Prime factorization of 4124 in exponential form is:

4124 = 22×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 4116 and 4124.

LCM(4116,4124) = 22×31×73×10311
LCM(4116,4124) = 4243596

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1, 2, 4, 1031, 2062, 4124

Least Common Multiple of 4116 and 4124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4116 and 4124, than apply into the LCM equation.

GCF(4116,4124) = 4
LCM(4116,4124) = ( 4116 × 4124) / 4
LCM(4116,4124) = 16974384 / 4
LCM(4116,4124) = 4243596

Properties of LCM 4116 and 4124

(i) The LCM of 4124 and 4116 is associative

LCM of 4116 and 4124 = LCM of 4124 and 4116

Related Least Common Multiples of 4116

Related Least Common Multiples of 4124

Frequently Asked Questions on LCM of 4116 and 4124

1. What is the LCM of 4116 and 4124?

Answer: LCM of 4116 and 4124 is 4243596.

2. What are the Factors of 4116?

Answer: Factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116. There are 24 integers that are factors of 4116. The greatest factor of 4116 is 4116.

3. What are the Factors of 4124?

Answer: Factors of 4124 are 1, 2, 4, 1031, 2062, 4124. There are 6 integers that are factors of 4124. The greatest factor of 4124 is 4124.

4. How to Find the LCM of 4116 and 4124?

Answer:

Least Common Multiple of 4116 and 4124 = 4243596

Step 1: Find the prime factorization of 4116

4116 = 2 x 2 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 4124

4124 = 2 x 2 x 1031

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

LCM = 4243596 = 2 x 2 x 3 x 7 x 7 x 7 x 1031

Step 4: Therefore, the least common multiple of 4116 and 4124 is 4243596.