Least Common Multiple of 4709 and 4712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4709 and 4712 the smallest integer that is 22188808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4709 and 4712 is 22188808.

LCM(4709,4712) = 22188808

LCM of 4709 and 4712

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

LCM of:
and

Least Common Multiple of 4709 and 4712

LCM of 4709 and 4712 is 22188808

Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4712. First we will calculate the prime factors of 4709 and 4712.

Prime Factorization of 4709


17 4709
277 277
1

Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:

4709 = 171×2771

Prime Factorization of 4712


2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 4712 are 2, 19,31. Prime factorization of 4712 in exponential form is:

4712 = 23×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4712.

LCM(4709,4712) = 23×171×191×311×2771
LCM(4709,4712) = 22188808

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1, 17, 277, 4709

Factors of 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712

Least Common Multiple of 4709 and 4712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4712, than apply into the LCM equation.

GCF(4709,4712) = 1
LCM(4709,4712) = ( 4709 × 4712) / 1
LCM(4709,4712) = 22188808 / 1
LCM(4709,4712) = 22188808

Properties of LCM 4709 and 4712

(i) The LCM of 4712 and 4709 is associative

LCM of 4709 and 4712 = LCM of 4712 and 4709

Related Least Common Multiples of 4709

Related Least Common Multiples of 4712

Frequently Asked Questions on LCM of 4709 and 4712

1. What is the LCM of 4709 and 4712?

Answer: LCM of 4709 and 4712 is 22188808.

2. What are the Factors of 4709?

Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.

3. What are the Factors of 4712?

Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.

4. How to Find the LCM of 4709 and 4712?

Answer:

Least Common Multiple of 4709 and 4712 = 22188808

Step 1: Find the prime factorization of 4709

4709 = 17 x 277

Step 2: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

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

LCM = 22188808 = 2 x 2 x 2 x 17 x 19 x 31 x 277

Step 4: Therefore, the least common multiple of 4709 and 4712 is 22188808.