Least Common Multiple of 4692 and 4697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4692 and 4697 the smallest integer that is 22038324 that is divisible by both numbers.

Least Common Multiple (LCM) of 4692 and 4697 is 22038324.

LCM(4692,4697) = 22038324

LCM of 4692 and 4697

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

LCM of:
and

Least Common Multiple of 4692 and 4697

LCM of 4692 and 4697 is 22038324

Least common multiple can be found by multiplying the highest exponent prime factors of 4692 and 4697. First we will calculate the prime factors of 4692 and 4697.

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4692 and 4697.

LCM(4692,4697) = 22×31×71×111×171×231×611
LCM(4692,4697) = 22038324

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

Factors of 4697

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

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

Least Common Multiple of 4692 and 4697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4692 and 4697, than apply into the LCM equation.

GCF(4692,4697) = 1
LCM(4692,4697) = ( 4692 × 4697) / 1
LCM(4692,4697) = 22038324 / 1
LCM(4692,4697) = 22038324

Properties of LCM 4692 and 4697

(i) The LCM of 4697 and 4692 is associative

LCM of 4692 and 4697 = LCM of 4697 and 4692

Related Least Common Multiples of 4692

Related Least Common Multiples of 4697

Frequently Asked Questions on LCM of 4692 and 4697

1. What is the LCM of 4692 and 4697?

Answer: LCM of 4692 and 4697 is 22038324.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

3. 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.

4. How to Find the LCM of 4692 and 4697?

Answer:

Least Common Multiple of 4692 and 4697 = 22038324

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 4697

4697 = 7 x 11 x 61

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

LCM = 22038324 = 2 x 2 x 3 x 7 x 11 x 17 x 23 x 61

Step 4: Therefore, the least common multiple of 4692 and 4697 is 22038324.