Least Common Multiple of 4771 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 4771 and 4776 the smallest integer that is 22786296 that is divisible by both numbers.

Least Common Multiple (LCM) of 4771 and 4776 is 22786296.

LCM(4771,4776) = 22786296

LCM of 4771 and 4776

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

LCM of:
and

Least Common Multiple of 4771 and 4776

LCM of 4771 and 4776 is 22786296

Least common multiple can be found by multiplying the highest exponent prime factors of 4771 and 4776. First we will calculate the prime factors of 4771 and 4776.

Prime Factorization of 4771


13 4771
367 367
1

Prime factors of 4771 are 13,367. Prime factorization of 4771 in exponential form is:

4771 = 131×3671

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 4771 and 4776.

LCM(4771,4776) = 23×31×131×1991×3671
LCM(4771,4776) = 22786296

Factors of 4771

List of positive integer factors of 4771 that divides 4771 without a remainder.

1, 13, 367, 4771

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 4771 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 4771 and 4776, than apply into the LCM equation.

GCF(4771,4776) = 1
LCM(4771,4776) = ( 4771 × 4776) / 1
LCM(4771,4776) = 22786296 / 1
LCM(4771,4776) = 22786296

Properties of LCM 4771 and 4776

(i) The LCM of 4776 and 4771 is associative

LCM of 4771 and 4776 = LCM of 4776 and 4771

Related Least Common Multiples of 4771

Related Least Common Multiples of 4776

Frequently Asked Questions on LCM of 4771 and 4776

1. What is the LCM of 4771 and 4776?

Answer: LCM of 4771 and 4776 is 22786296.

2. What are the Factors of 4771?

Answer: Factors of 4771 are 1, 13, 367, 4771. There are 4 integers that are factors of 4771. The greatest factor of 4771 is 4771.

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 4771 and 4776?

Answer:

Least Common Multiple of 4771 and 4776 = 22786296

Step 1: Find the prime factorization of 4771

4771 = 13 x 367

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 = 22786296 = 2 x 2 x 2 x 3 x 13 x 199 x 367

Step 4: Therefore, the least common multiple of 4771 and 4776 is 22786296.