Least Common Multiple of 4648 and 4654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4648 and 4654 the smallest integer that is 10815896 that is divisible by both numbers.

Least Common Multiple (LCM) of 4648 and 4654 is 10815896.

LCM(4648,4654) = 10815896

LCM of 4648 and 4654

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

LCM of:
and

Least Common Multiple of 4648 and 4654

LCM of 4648 and 4654 is 10815896

Least common multiple can be found by multiplying the highest exponent prime factors of 4648 and 4654. First we will calculate the prime factors of 4648 and 4654.

Prime Factorization of 4648


2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 4648 are 2, 7,83. Prime factorization of 4648 in exponential form is:

4648 = 23×71×831

Prime Factorization of 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4648 and 4654.

LCM(4648,4654) = 23×71×131×831×1791
LCM(4648,4654) = 10815896

Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1, 2, 13, 26, 179, 358, 2327, 4654

Least Common Multiple of 4648 and 4654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4648 and 4654, than apply into the LCM equation.

GCF(4648,4654) = 2
LCM(4648,4654) = ( 4648 × 4654) / 2
LCM(4648,4654) = 21631792 / 2
LCM(4648,4654) = 10815896

Properties of LCM 4648 and 4654

(i) The LCM of 4654 and 4648 is associative

LCM of 4648 and 4654 = LCM of 4654 and 4648

Related Least Common Multiples of 4648

Related Least Common Multiples of 4654

Frequently Asked Questions on LCM of 4648 and 4654

1. What is the LCM of 4648 and 4654?

Answer: LCM of 4648 and 4654 is 10815896.

2. What are the Factors of 4648?

Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.

3. What are the Factors of 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

4. How to Find the LCM of 4648 and 4654?

Answer:

Least Common Multiple of 4648 and 4654 = 10815896

Step 1: Find the prime factorization of 4648

4648 = 2 x 2 x 2 x 7 x 83

Step 2: Find the prime factorization of 4654

4654 = 2 x 13 x 179

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

LCM = 10815896 = 2 x 2 x 2 x 7 x 13 x 83 x 179

Step 4: Therefore, the least common multiple of 4648 and 4654 is 10815896.