Least Common Multiple of 4307 and 4312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4307 and 4312 the smallest integer that is 18571784 that is divisible by both numbers.

Least Common Multiple (LCM) of 4307 and 4312 is 18571784.

LCM(4307,4312) = 18571784

LCM of 4307 and 4312

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

LCM of:
and

Least Common Multiple of 4307 and 4312

LCM of 4307 and 4312 is 18571784

Least common multiple can be found by multiplying the highest exponent prime factors of 4307 and 4312. First we will calculate the prime factors of 4307 and 4312.

Prime Factorization of 4307


59 4307
73 73
1

Prime factors of 4307 are 59,73. Prime factorization of 4307 in exponential form is:

4307 = 591×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4307 and 4312.

LCM(4307,4312) = 23×72×111×591×731
LCM(4307,4312) = 18571784

Factors of 4307

List of positive integer factors of 4307 that divides 4307 without a remainder.

1, 59, 73, 4307

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

Least Common Multiple of 4307 and 4312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4307 and 4312, than apply into the LCM equation.

GCF(4307,4312) = 1
LCM(4307,4312) = ( 4307 × 4312) / 1
LCM(4307,4312) = 18571784 / 1
LCM(4307,4312) = 18571784

Properties of LCM 4307 and 4312

(i) The LCM of 4312 and 4307 is associative

LCM of 4307 and 4312 = LCM of 4312 and 4307

Related Least Common Multiples of 4307

Related Least Common Multiples of 4312

Frequently Asked Questions on LCM of 4307 and 4312

1. What is the LCM of 4307 and 4312?

Answer: LCM of 4307 and 4312 is 18571784.

2. What are the Factors of 4307?

Answer: Factors of 4307 are 1, 59, 73, 4307. There are 4 integers that are factors of 4307. The greatest factor of 4307 is 4307.

3. 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.

4. How to Find the LCM of 4307 and 4312?

Answer:

Least Common Multiple of 4307 and 4312 = 18571784

Step 1: Find the prime factorization of 4307

4307 = 59 x 73

Step 2: Find the prime factorization of 4312

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

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

LCM = 18571784 = 2 x 2 x 2 x 7 x 7 x 11 x 59 x 73

Step 4: Therefore, the least common multiple of 4307 and 4312 is 18571784.