Least Common Multiple of 4684 and 4688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4684 and 4688 the smallest integer that is 5489648 that is divisible by both numbers.

Least Common Multiple (LCM) of 4684 and 4688 is 5489648.

LCM(4684,4688) = 5489648

LCM of 4684 and 4688

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

LCM of:
and

Least Common Multiple of 4684 and 4688

LCM of 4684 and 4688 is 5489648

Least common multiple can be found by multiplying the highest exponent prime factors of 4684 and 4688. First we will calculate the prime factors of 4684 and 4688.

Prime Factorization of 4684


2 4684
2 2342
1171 1171
1

Prime factors of 4684 are 2,1171. Prime factorization of 4684 in exponential form is:

4684 = 22×11711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4684 and 4688.

LCM(4684,4688) = 24×2931×11711
LCM(4684,4688) = 5489648

Factors of 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1, 2, 4, 1171, 2342, 4684

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

Least Common Multiple of 4684 and 4688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4684 and 4688, than apply into the LCM equation.

GCF(4684,4688) = 4
LCM(4684,4688) = ( 4684 × 4688) / 4
LCM(4684,4688) = 21958592 / 4
LCM(4684,4688) = 5489648

Properties of LCM 4684 and 4688

(i) The LCM of 4688 and 4684 is associative

LCM of 4684 and 4688 = LCM of 4688 and 4684

Related Least Common Multiples of 4684

Related Least Common Multiples of 4688

Frequently Asked Questions on LCM of 4684 and 4688

1. What is the LCM of 4684 and 4688?

Answer: LCM of 4684 and 4688 is 5489648.

2. What are the Factors of 4684?

Answer: Factors of 4684 are 1, 2, 4, 1171, 2342, 4684. There are 6 integers that are factors of 4684. The greatest factor of 4684 is 4684.

3. 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.

4. How to Find the LCM of 4684 and 4688?

Answer:

Least Common Multiple of 4684 and 4688 = 5489648

Step 1: Find the prime factorization of 4684

4684 = 2 x 2 x 1171

Step 2: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

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

LCM = 5489648 = 2 x 2 x 2 x 2 x 293 x 1171

Step 4: Therefore, the least common multiple of 4684 and 4688 is 5489648.