Least Common Multiple of 4688 and 4696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4688 and 4696 the smallest integer that is 2751856 that is divisible by both numbers.

Least Common Multiple (LCM) of 4688 and 4696 is 2751856.

LCM(4688,4696) = 2751856

LCM of 4688 and 4696

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

LCM of:
and

Least Common Multiple of 4688 and 4696

LCM of 4688 and 4696 is 2751856

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4696. First we will calculate the prime factors of 4688 and 4696.

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

Prime Factorization of 4696


2 4696
2 2348
2 1174
587 587
1

Prime factors of 4696 are 2,587. Prime factorization of 4696 in exponential form is:

4696 = 23×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4688 and 4696.

LCM(4688,4696) = 24×2931×5871
LCM(4688,4696) = 2751856

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1, 2, 4, 8, 587, 1174, 2348, 4696

Least Common Multiple of 4688 and 4696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4688 and 4696, than apply into the LCM equation.

GCF(4688,4696) = 8
LCM(4688,4696) = ( 4688 × 4696) / 8
LCM(4688,4696) = 22014848 / 8
LCM(4688,4696) = 2751856

Properties of LCM 4688 and 4696

(i) The LCM of 4696 and 4688 is associative

LCM of 4688 and 4696 = LCM of 4696 and 4688

Related Least Common Multiples of 4688

Related Least Common Multiples of 4696

Frequently Asked Questions on LCM of 4688 and 4696

1. What is the LCM of 4688 and 4696?

Answer: LCM of 4688 and 4696 is 2751856.

2. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

3. What are the Factors of 4696?

Answer: Factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696. There are 8 integers that are factors of 4696. The greatest factor of 4696 is 4696.

4. How to Find the LCM of 4688 and 4696?

Answer:

Least Common Multiple of 4688 and 4696 = 2751856

Step 1: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 4696

4696 = 2 x 2 x 2 x 587

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

LCM = 2751856 = 2 x 2 x 2 x 2 x 293 x 587

Step 4: Therefore, the least common multiple of 4688 and 4696 is 2751856.