Least Common Multiple of 4705 and 4708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4705 and 4708 the smallest integer that is 22151140 that is divisible by both numbers.

Least Common Multiple (LCM) of 4705 and 4708 is 22151140.

LCM(4705,4708) = 22151140

LCM of 4705 and 4708

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

LCM of:
and

Least Common Multiple of 4705 and 4708

LCM of 4705 and 4708 is 22151140

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4708. First we will calculate the prime factors of 4705 and 4708.

Prime Factorization of 4705


5 4705
941 941
1

Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:

4705 = 51×9411

Prime Factorization of 4708


2 4708
2 2354
11 1177
107 107
1

Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:

4708 = 22×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4705 and 4708.

LCM(4705,4708) = 22×51×111×1071×9411
LCM(4705,4708) = 22151140

Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1, 5, 941, 4705

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708

Least Common Multiple of 4705 and 4708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4705 and 4708, than apply into the LCM equation.

GCF(4705,4708) = 1
LCM(4705,4708) = ( 4705 × 4708) / 1
LCM(4705,4708) = 22151140 / 1
LCM(4705,4708) = 22151140

Properties of LCM 4705 and 4708

(i) The LCM of 4708 and 4705 is associative

LCM of 4705 and 4708 = LCM of 4708 and 4705

Related Least Common Multiples of 4705

Related Least Common Multiples of 4708

Frequently Asked Questions on LCM of 4705 and 4708

1. What is the LCM of 4705 and 4708?

Answer: LCM of 4705 and 4708 is 22151140.

2. What are the Factors of 4705?

Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.

3. What are the Factors of 4708?

Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.

4. How to Find the LCM of 4705 and 4708?

Answer:

Least Common Multiple of 4705 and 4708 = 22151140

Step 1: Find the prime factorization of 4705

4705 = 5 x 941

Step 2: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

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

LCM = 22151140 = 2 x 2 x 5 x 11 x 107 x 941

Step 4: Therefore, the least common multiple of 4705 and 4708 is 22151140.