Least Common Multiple of 4608 and 4614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4608 and 4614 the smallest integer that is 3543552 that is divisible by both numbers.

Least Common Multiple (LCM) of 4608 and 4614 is 3543552.

LCM(4608,4614) = 3543552

LCM of 4608 and 4614

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

LCM of:
and

Least Common Multiple of 4608 and 4614

LCM of 4608 and 4614 is 3543552

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4614. First we will calculate the prime factors of 4608 and 4614.

Prime Factorization of 4608


2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 4608 are 2,3. Prime factorization of 4608 in exponential form is:

4608 = 29×32

Prime Factorization of 4614


2 4614
3 2307
769 769
1

Prime factors of 4614 are 2, 3,769. Prime factorization of 4614 in exponential form is:

4614 = 21×31×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4614.

LCM(4608,4614) = 29×32×7691
LCM(4608,4614) = 3543552

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1, 2, 3, 6, 769, 1538, 2307, 4614

Least Common Multiple of 4608 and 4614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4608 and 4614, than apply into the LCM equation.

GCF(4608,4614) = 6
LCM(4608,4614) = ( 4608 × 4614) / 6
LCM(4608,4614) = 21261312 / 6
LCM(4608,4614) = 3543552

Properties of LCM 4608 and 4614

(i) The LCM of 4614 and 4608 is associative

LCM of 4608 and 4614 = LCM of 4614 and 4608

Related Least Common Multiples of 4608

Related Least Common Multiples of 4614

Frequently Asked Questions on LCM of 4608 and 4614

1. What is the LCM of 4608 and 4614?

Answer: LCM of 4608 and 4614 is 3543552.

2. What are the Factors of 4608?

Answer: Factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608. There are 30 integers that are factors of 4608. The greatest factor of 4608 is 4608.

3. What are the Factors of 4614?

Answer: Factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614. There are 8 integers that are factors of 4614. The greatest factor of 4614 is 4614.

4. How to Find the LCM of 4608 and 4614?

Answer:

Least Common Multiple of 4608 and 4614 = 3543552

Step 1: Find the prime factorization of 4608

4608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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

LCM = 3543552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 769

Step 4: Therefore, the least common multiple of 4608 and 4614 is 3543552.