Least Common Multiple of 4312 and 4316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4312 and 4316 the smallest integer that is 4652648 that is divisible by both numbers.

Least Common Multiple (LCM) of 4312 and 4316 is 4652648.

LCM(4312,4316) = 4652648

LCM of 4312 and 4316

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

LCM of:
and

Least Common Multiple of 4312 and 4316

LCM of 4312 and 4316 is 4652648

Least common multiple can be found by multiplying the highest exponent prime factors of 4312 and 4316. First we will calculate the prime factors of 4312 and 4316.

Prime Factorization of 4312


2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 4312 are 2, 7,11. Prime factorization of 4312 in exponential form is:

4312 = 23×72×111

Prime Factorization of 4316


2 4316
2 2158
13 1079
83 83
1

Prime factors of 4316 are 2, 13,83. Prime factorization of 4316 in exponential form is:

4316 = 22×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4312 and 4316.

LCM(4312,4316) = 23×72×111×131×831
LCM(4312,4316) = 4652648

Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312

Factors of 4316

List of positive integer factors of 4316 that divides 4316 without a remainder.

1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316

Least Common Multiple of 4312 and 4316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4312 and 4316, than apply into the LCM equation.

GCF(4312,4316) = 4
LCM(4312,4316) = ( 4312 × 4316) / 4
LCM(4312,4316) = 18610592 / 4
LCM(4312,4316) = 4652648

Properties of LCM 4312 and 4316

(i) The LCM of 4316 and 4312 is associative

LCM of 4312 and 4316 = LCM of 4316 and 4312

Related Least Common Multiples of 4312

Related Least Common Multiples of 4316

Frequently Asked Questions on LCM of 4312 and 4316

1. What is the LCM of 4312 and 4316?

Answer: LCM of 4312 and 4316 is 4652648.

2. What are the Factors of 4312?

Answer: Factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312. There are 24 integers that are factors of 4312. The greatest factor of 4312 is 4312.

3. What are the Factors of 4316?

Answer: Factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316. There are 12 integers that are factors of 4316. The greatest factor of 4316 is 4316.

4. How to Find the LCM of 4312 and 4316?

Answer:

Least Common Multiple of 4312 and 4316 = 4652648

Step 1: Find the prime factorization of 4312

4312 = 2 x 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 4316

4316 = 2 x 2 x 13 x 83

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

LCM = 4652648 = 2 x 2 x 2 x 7 x 7 x 11 x 13 x 83

Step 4: Therefore, the least common multiple of 4312 and 4316 is 4652648.