Least Common Multiple of 4646 and 4647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4646 and 4647 the smallest integer that is 21589962 that is divisible by both numbers.

Least Common Multiple (LCM) of 4646 and 4647 is 21589962.

LCM(4646,4647) = 21589962

LCM of 4646 and 4647

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

LCM of:
and

Least Common Multiple of 4646 and 4647

LCM of 4646 and 4647 is 21589962

Least common multiple can be found by multiplying the highest exponent prime factors of 4646 and 4647. First we will calculate the prime factors of 4646 and 4647.

Prime Factorization of 4646


2 4646
23 2323
101 101
1

Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:

4646 = 21×231×1011

Prime Factorization of 4647


3 4647
1549 1549
1

Prime factors of 4647 are 3,1549. Prime factorization of 4647 in exponential form is:

4647 = 31×15491

Now multiplying the highest exponent prime factors to calculate the LCM of 4646 and 4647.

LCM(4646,4647) = 21×31×231×1011×15491
LCM(4646,4647) = 21589962

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1, 2, 23, 46, 101, 202, 2323, 4646

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1, 3, 1549, 4647

Least Common Multiple of 4646 and 4647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4646 and 4647, than apply into the LCM equation.

GCF(4646,4647) = 1
LCM(4646,4647) = ( 4646 × 4647) / 1
LCM(4646,4647) = 21589962 / 1
LCM(4646,4647) = 21589962

Properties of LCM 4646 and 4647

(i) The LCM of 4647 and 4646 is associative

LCM of 4646 and 4647 = LCM of 4647 and 4646

Related Least Common Multiples of 4646

Related Least Common Multiples of 4647

Frequently Asked Questions on LCM of 4646 and 4647

1. What is the LCM of 4646 and 4647?

Answer: LCM of 4646 and 4647 is 21589962.

2. What are the Factors of 4646?

Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.

3. What are the Factors of 4647?

Answer: Factors of 4647 are 1, 3, 1549, 4647. There are 4 integers that are factors of 4647. The greatest factor of 4647 is 4647.

4. How to Find the LCM of 4646 and 4647?

Answer:

Least Common Multiple of 4646 and 4647 = 21589962

Step 1: Find the prime factorization of 4646

4646 = 2 x 23 x 101

Step 2: Find the prime factorization of 4647

4647 = 3 x 1549

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

LCM = 21589962 = 2 x 3 x 23 x 101 x 1549

Step 4: Therefore, the least common multiple of 4646 and 4647 is 21589962.