Least Common Multiple of 4680 and 4685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4680 and 4685 the smallest integer that is 4385160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4680 and 4685 is 4385160.

LCM(4680,4685) = 4385160

LCM of 4680 and 4685

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

LCM of:
and

Least Common Multiple of 4680 and 4685

LCM of 4680 and 4685 is 4385160

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4685. First we will calculate the prime factors of 4680 and 4685.

Prime Factorization of 4680


2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 4680 are 2, 3, 5,13. Prime factorization of 4680 in exponential form is:

4680 = 23×32×51×131

Prime Factorization of 4685


5 4685
937 937
1

Prime factors of 4685 are 5,937. Prime factorization of 4685 in exponential form is:

4685 = 51×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4685.

LCM(4680,4685) = 23×32×51×131×9371
LCM(4680,4685) = 4385160

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

Factors of 4685

List of positive integer factors of 4685 that divides 4685 without a remainder.

1, 5, 937, 4685

Least Common Multiple of 4680 and 4685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4680 and 4685, than apply into the LCM equation.

GCF(4680,4685) = 5
LCM(4680,4685) = ( 4680 × 4685) / 5
LCM(4680,4685) = 21925800 / 5
LCM(4680,4685) = 4385160

Properties of LCM 4680 and 4685

(i) The LCM of 4685 and 4680 is associative

LCM of 4680 and 4685 = LCM of 4685 and 4680

Related Least Common Multiples of 4680

Related Least Common Multiples of 4685

Frequently Asked Questions on LCM of 4680 and 4685

1. What is the LCM of 4680 and 4685?

Answer: LCM of 4680 and 4685 is 4385160.

2. What are the Factors of 4680?

Answer: Factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680. There are 48 integers that are factors of 4680. The greatest factor of 4680 is 4680.

3. What are the Factors of 4685?

Answer: Factors of 4685 are 1, 5, 937, 4685. There are 4 integers that are factors of 4685. The greatest factor of 4685 is 4685.

4. How to Find the LCM of 4680 and 4685?

Answer:

Least Common Multiple of 4680 and 4685 = 4385160

Step 1: Find the prime factorization of 4680

4680 = 2 x 2 x 2 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 4685

4685 = 5 x 937

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

LCM = 4385160 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 937

Step 4: Therefore, the least common multiple of 4680 and 4685 is 4385160.