Least Common Multiple of 4651 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 4651 and 4652 the smallest integer that is 21636452 that is divisible by both numbers.

Least Common Multiple (LCM) of 4651 and 4652 is 21636452.

LCM(4651,4652) = 21636452

LCM of 4651 and 4652

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

LCM of:
and

Least Common Multiple of 4651 and 4652

LCM of 4651 and 4652 is 21636452

Least common multiple can be found by multiplying the highest exponent prime factors of 4651 and 4652. First we will calculate the prime factors of 4651 and 4652.

Prime Factorization of 4651


4651 4651
1

Prime factors of 4651 are 4651. Prime factorization of 4651 in exponential form is:

4651 = 46511

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 4651 and 4652.

LCM(4651,4652) = 22×11631×46511
LCM(4651,4652) = 21636452

Factors of 4651

List of positive integer factors of 4651 that divides 4651 without a remainder.

1, 4651

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 4651 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 4651 and 4652, than apply into the LCM equation.

GCF(4651,4652) = 1
LCM(4651,4652) = ( 4651 × 4652) / 1
LCM(4651,4652) = 21636452 / 1
LCM(4651,4652) = 21636452

Properties of LCM 4651 and 4652

(i) The LCM of 4652 and 4651 is associative

LCM of 4651 and 4652 = LCM of 4652 and 4651

Related Least Common Multiples of 4651

Related Least Common Multiples of 4652

Frequently Asked Questions on LCM of 4651 and 4652

1. What is the LCM of 4651 and 4652?

Answer: LCM of 4651 and 4652 is 21636452.

2. What are the Factors of 4651?

Answer: Factors of 4651 are 1, 4651. There are 2 integers that are factors of 4651. The greatest factor of 4651 is 4651.

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 4651 and 4652?

Answer:

Least Common Multiple of 4651 and 4652 = 21636452

Step 1: Find the prime factorization of 4651

4651 = 4651

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 = 21636452 = 2 x 2 x 1163 x 4651

Step 4: Therefore, the least common multiple of 4651 and 4652 is 21636452.