Least Common Multiple of 4792 and 4800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4792 and 4800 the smallest integer that is 2875200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4792 and 4800 is 2875200.

LCM(4792,4800) = 2875200

LCM of 4792 and 4800

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

LCM of:
and

Least Common Multiple of 4792 and 4800

LCM of 4792 and 4800 is 2875200

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4800. First we will calculate the prime factors of 4792 and 4800.

Prime Factorization of 4792


2 4792
2 2396
2 1198
599 599
1

Prime factors of 4792 are 2,599. Prime factorization of 4792 in exponential form is:

4792 = 23×5991

Prime Factorization of 4800


2 4800
2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 4800 are 2, 3,5. Prime factorization of 4800 in exponential form is:

4800 = 26×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4800.

LCM(4792,4800) = 26×31×52×5991
LCM(4792,4800) = 2875200

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1, 2, 4, 8, 599, 1198, 2396, 4792

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800

Least Common Multiple of 4792 and 4800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4792 and 4800, than apply into the LCM equation.

GCF(4792,4800) = 8
LCM(4792,4800) = ( 4792 × 4800) / 8
LCM(4792,4800) = 23001600 / 8
LCM(4792,4800) = 2875200

Properties of LCM 4792 and 4800

(i) The LCM of 4800 and 4792 is associative

LCM of 4792 and 4800 = LCM of 4800 and 4792

Related Least Common Multiples of 4792

Related Least Common Multiples of 4800

Frequently Asked Questions on LCM of 4792 and 4800

1. What is the LCM of 4792 and 4800?

Answer: LCM of 4792 and 4800 is 2875200.

2. What are the Factors of 4792?

Answer: Factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792. There are 8 integers that are factors of 4792. The greatest factor of 4792 is 4792.

3. What are the Factors of 4800?

Answer: Factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800. There are 42 integers that are factors of 4800. The greatest factor of 4800 is 4800.

4. How to Find the LCM of 4792 and 4800?

Answer:

Least Common Multiple of 4792 and 4800 = 2875200

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 4800

4800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

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

LCM = 2875200 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 599

Step 4: Therefore, the least common multiple of 4792 and 4800 is 2875200.