Least Common Multiple of 4646 and 4652

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 4652 the smallest integer that is 10806596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4646 and 4652 is 10806596.

LCM(4646,4652) = 10806596

LCM of 4646 and 4652

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

LCM of:
and

Least Common Multiple of 4646 and 4652

LCM of 4646 and 4652 is 10806596

Least common multiple can be found by multiplying the highest exponent prime factors of 4646 and 4652. First we will calculate the prime factors of 4646 and 4652.

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 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 4646 and 4652.

LCM(4646,4652) = 22×231×1011×11631
LCM(4646,4652) = 10806596

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 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

Least Common Multiple of 4646 and 4652 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 4652, than apply into the LCM equation.

GCF(4646,4652) = 2
LCM(4646,4652) = ( 4646 × 4652) / 2
LCM(4646,4652) = 21613192 / 2
LCM(4646,4652) = 10806596

Properties of LCM 4646 and 4652

(i) The LCM of 4652 and 4646 is associative

LCM of 4646 and 4652 = LCM of 4652 and 4646

Related Least Common Multiples of 4646

Related Least Common Multiples of 4652

Frequently Asked Questions on LCM of 4646 and 4652

1. What is the LCM of 4646 and 4652?

Answer: LCM of 4646 and 4652 is 10806596.

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 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

4. How to Find the LCM of 4646 and 4652?

Answer:

Least Common Multiple of 4646 and 4652 = 10806596

Step 1: Find the prime factorization of 4646

4646 = 2 x 23 x 101

Step 2: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

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

LCM = 10806596 = 2 x 2 x 23 x 101 x 1163

Step 4: Therefore, the least common multiple of 4646 and 4652 is 10806596.