Least Common Multiple of 4688 and 4692

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 4692 the smallest integer that is 5499024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4688 and 4692 is 5499024.

LCM(4688,4692) = 5499024

LCM of 4688 and 4692

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

LCM of:
and

Least Common Multiple of 4688 and 4692

LCM of 4688 and 4692 is 5499024

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4692. First we will calculate the prime factors of 4688 and 4692.

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 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4688 and 4692.

LCM(4688,4692) = 24×31×171×231×2931
LCM(4688,4692) = 5499024

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 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

Least Common Multiple of 4688 and 4692 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 4692, than apply into the LCM equation.

GCF(4688,4692) = 4
LCM(4688,4692) = ( 4688 × 4692) / 4
LCM(4688,4692) = 21996096 / 4
LCM(4688,4692) = 5499024

Properties of LCM 4688 and 4692

(i) The LCM of 4692 and 4688 is associative

LCM of 4688 and 4692 = LCM of 4692 and 4688

Related Least Common Multiples of 4688

Related Least Common Multiples of 4692

Frequently Asked Questions on LCM of 4688 and 4692

1. What is the LCM of 4688 and 4692?

Answer: LCM of 4688 and 4692 is 5499024.

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 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

4. How to Find the LCM of 4688 and 4692?

Answer:

Least Common Multiple of 4688 and 4692 = 5499024

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 4692

4692 = 2 x 2 x 3 x 17 x 23

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

LCM = 5499024 = 2 x 2 x 2 x 2 x 3 x 17 x 23 x 293

Step 4: Therefore, the least common multiple of 4688 and 4692 is 5499024.