Least Common Multiple of 4646 and 4651

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 4651 the smallest integer that is 21608546 that is divisible by both numbers.

Least Common Multiple (LCM) of 4646 and 4651 is 21608546.

LCM(4646,4651) = 21608546

LCM of 4646 and 4651

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

LCM of:
and

Least Common Multiple of 4646 and 4651

LCM of 4646 and 4651 is 21608546

Least common multiple can be found by multiplying the highest exponent prime factors of 4646 and 4651. First we will calculate the prime factors of 4646 and 4651.

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 4651


4651 4651
1

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

4651 = 46511

Now multiplying the highest exponent prime factors to calculate the LCM of 4646 and 4651.

LCM(4646,4651) = 21×231×1011×46511
LCM(4646,4651) = 21608546

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 4651

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

1, 4651

Least Common Multiple of 4646 and 4651 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 4651, than apply into the LCM equation.

GCF(4646,4651) = 1
LCM(4646,4651) = ( 4646 × 4651) / 1
LCM(4646,4651) = 21608546 / 1
LCM(4646,4651) = 21608546

Properties of LCM 4646 and 4651

(i) The LCM of 4651 and 4646 is associative

LCM of 4646 and 4651 = LCM of 4651 and 4646

Related Least Common Multiples of 4646

Related Least Common Multiples of 4651

Frequently Asked Questions on LCM of 4646 and 4651

1. What is the LCM of 4646 and 4651?

Answer: LCM of 4646 and 4651 is 21608546.

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 4651?

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

4. How to Find the LCM of 4646 and 4651?

Answer:

Least Common Multiple of 4646 and 4651 = 21608546

Step 1: Find the prime factorization of 4646

4646 = 2 x 23 x 101

Step 2: Find the prime factorization of 4651

4651 = 4651

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

LCM = 21608546 = 2 x 23 x 101 x 4651

Step 4: Therefore, the least common multiple of 4646 and 4651 is 21608546.