Least Common Multiple of 4776 and 4782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4776 and 4782 the smallest integer that is 3806472 that is divisible by both numbers.

Least Common Multiple (LCM) of 4776 and 4782 is 3806472.

LCM(4776,4782) = 3806472

LCM of 4776 and 4782

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

LCM of:
and

Least Common Multiple of 4776 and 4782

LCM of 4776 and 4782 is 3806472

Least common multiple can be found by multiplying the highest exponent prime factors of 4776 and 4782. First we will calculate the prime factors of 4776 and 4782.

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

Prime Factorization of 4782


2 4782
3 2391
797 797
1

Prime factors of 4782 are 2, 3,797. Prime factorization of 4782 in exponential form is:

4782 = 21×31×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 4776 and 4782.

LCM(4776,4782) = 23×31×1991×7971
LCM(4776,4782) = 3806472

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

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1, 2, 3, 6, 797, 1594, 2391, 4782

Least Common Multiple of 4776 and 4782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4776 and 4782, than apply into the LCM equation.

GCF(4776,4782) = 6
LCM(4776,4782) = ( 4776 × 4782) / 6
LCM(4776,4782) = 22838832 / 6
LCM(4776,4782) = 3806472

Properties of LCM 4776 and 4782

(i) The LCM of 4782 and 4776 is associative

LCM of 4776 and 4782 = LCM of 4782 and 4776

Related Least Common Multiples of 4776

Related Least Common Multiples of 4782

Frequently Asked Questions on LCM of 4776 and 4782

1. What is the LCM of 4776 and 4782?

Answer: LCM of 4776 and 4782 is 3806472.

2. 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.

3. What are the Factors of 4782?

Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.

4. How to Find the LCM of 4776 and 4782?

Answer:

Least Common Multiple of 4776 and 4782 = 3806472

Step 1: Find the prime factorization of 4776

4776 = 2 x 2 x 2 x 3 x 199

Step 2: Find the prime factorization of 4782

4782 = 2 x 3 x 797

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

LCM = 3806472 = 2 x 2 x 2 x 3 x 199 x 797

Step 4: Therefore, the least common multiple of 4776 and 4782 is 3806472.