Least Common Multiple of 4768 and 4776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4768 and 4776 the smallest integer that is 2846496 that is divisible by both numbers.

Least Common Multiple (LCM) of 4768 and 4776 is 2846496.

LCM(4768,4776) = 2846496

LCM of 4768 and 4776

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

LCM of:
and

Least Common Multiple of 4768 and 4776

LCM of 4768 and 4776 is 2846496

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4776. First we will calculate the prime factors of 4768 and 4776.

Prime Factorization of 4768


2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:

4768 = 25×1491

Prime Factorization of 4776


2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 4776 are 2, 3,199. Prime factorization of 4776 in exponential form is:

4776 = 23×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4768 and 4776.

LCM(4768,4776) = 25×31×1491×1991
LCM(4768,4776) = 2846496

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768

Factors of 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776

Least Common Multiple of 4768 and 4776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4768 and 4776, than apply into the LCM equation.

GCF(4768,4776) = 8
LCM(4768,4776) = ( 4768 × 4776) / 8
LCM(4768,4776) = 22771968 / 8
LCM(4768,4776) = 2846496

Properties of LCM 4768 and 4776

(i) The LCM of 4776 and 4768 is associative

LCM of 4768 and 4776 = LCM of 4776 and 4768

Related Least Common Multiples of 4768

Related Least Common Multiples of 4776

Frequently Asked Questions on LCM of 4768 and 4776

1. What is the LCM of 4768 and 4776?

Answer: LCM of 4768 and 4776 is 2846496.

2. What are the Factors of 4768?

Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.

3. What are the Factors of 4776?

Answer: Factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776. There are 16 integers that are factors of 4776. The greatest factor of 4776 is 4776.

4. How to Find the LCM of 4768 and 4776?

Answer:

Least Common Multiple of 4768 and 4776 = 2846496

Step 1: Find the prime factorization of 4768

4768 = 2 x 2 x 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 4776

4776 = 2 x 2 x 2 x 3 x 199

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

LCM = 2846496 = 2 x 2 x 2 x 2 x 2 x 3 x 149 x 199

Step 4: Therefore, the least common multiple of 4768 and 4776 is 2846496.