Least Common Multiple of 4697 and 4704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4697 and 4704 the smallest integer that is 3156384 that is divisible by both numbers.

Least Common Multiple (LCM) of 4697 and 4704 is 3156384.

LCM(4697,4704) = 3156384

LCM of 4697 and 4704

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

LCM of:
and

Least Common Multiple of 4697 and 4704

LCM of 4697 and 4704 is 3156384

Least common multiple can be found by multiplying the highest exponent prime factors of 4697 and 4704. First we will calculate the prime factors of 4697 and 4704.

Prime Factorization of 4697


7 4697
11 671
61 61
1

Prime factors of 4697 are 7, 11,61. Prime factorization of 4697 in exponential form is:

4697 = 71×111×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4697 and 4704.

LCM(4697,4704) = 25×31×72×111×611
LCM(4697,4704) = 3156384

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1, 7, 11, 61, 77, 427, 671, 4697

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

Least Common Multiple of 4697 and 4704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4697 and 4704, than apply into the LCM equation.

GCF(4697,4704) = 7
LCM(4697,4704) = ( 4697 × 4704) / 7
LCM(4697,4704) = 22094688 / 7
LCM(4697,4704) = 3156384

Properties of LCM 4697 and 4704

(i) The LCM of 4704 and 4697 is associative

LCM of 4697 and 4704 = LCM of 4704 and 4697

Related Least Common Multiples of 4697

Related Least Common Multiples of 4704

Frequently Asked Questions on LCM of 4697 and 4704

1. What is the LCM of 4697 and 4704?

Answer: LCM of 4697 and 4704 is 3156384.

2. What are the Factors of 4697?

Answer: Factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697. There are 8 integers that are factors of 4697. The greatest factor of 4697 is 4697.

3. 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.

4. How to Find the LCM of 4697 and 4704?

Answer:

Least Common Multiple of 4697 and 4704 = 3156384

Step 1: Find the prime factorization of 4697

4697 = 7 x 11 x 61

Step 2: Find the prime factorization of 4704

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

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

LCM = 3156384 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 4697 and 4704 is 3156384.