Least Common Multiple of 4704 and 4705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4704 and 4705 the smallest integer that is 22132320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4705 is 22132320.

LCM(4704,4705) = 22132320

LCM of 4704 and 4705

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

LCM of:
and

Least Common Multiple of 4704 and 4705

LCM of 4704 and 4705 is 22132320

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4705. First we will calculate the prime factors of 4704 and 4705.

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2, 3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4705.

LCM(4704,4705) = 25×31×51×72×9411
LCM(4704,4705) = 22132320

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

Factors of 4705

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

1, 5, 941, 4705

Least Common Multiple of 4704 and 4705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4704 and 4705, than apply into the LCM equation.

GCF(4704,4705) = 1
LCM(4704,4705) = ( 4704 × 4705) / 1
LCM(4704,4705) = 22132320 / 1
LCM(4704,4705) = 22132320

Properties of LCM 4704 and 4705

(i) The LCM of 4705 and 4704 is associative

LCM of 4704 and 4705 = LCM of 4705 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4705

Frequently Asked Questions on LCM of 4704 and 4705

1. What is the LCM of 4704 and 4705?

Answer: LCM of 4704 and 4705 is 22132320.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

3. 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.

4. How to Find the LCM of 4704 and 4705?

Answer:

Least Common Multiple of 4704 and 4705 = 22132320

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 4705

4705 = 5 x 941

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

LCM = 22132320 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 941

Step 4: Therefore, the least common multiple of 4704 and 4705 is 22132320.