Least Common Multiple of 4776 and 4783

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 4783 the smallest integer that is 22843608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4776 and 4783 is 22843608.

LCM(4776,4783) = 22843608

LCM of 4776 and 4783

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

LCM of:
and

Least Common Multiple of 4776 and 4783

LCM of 4776 and 4783 is 22843608

Least common multiple can be found by multiplying the highest exponent prime factors of 4776 and 4783. First we will calculate the prime factors of 4776 and 4783.

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 4783


4783 4783
1

Prime factors of 4783 are 4783. Prime factorization of 4783 in exponential form is:

4783 = 47831

Now multiplying the highest exponent prime factors to calculate the LCM of 4776 and 4783.

LCM(4776,4783) = 23×31×1991×47831
LCM(4776,4783) = 22843608

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 4783

List of positive integer factors of 4783 that divides 4783 without a remainder.

1, 4783

Least Common Multiple of 4776 and 4783 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 4783, than apply into the LCM equation.

GCF(4776,4783) = 1
LCM(4776,4783) = ( 4776 × 4783) / 1
LCM(4776,4783) = 22843608 / 1
LCM(4776,4783) = 22843608

Properties of LCM 4776 and 4783

(i) The LCM of 4783 and 4776 is associative

LCM of 4776 and 4783 = LCM of 4783 and 4776

Related Least Common Multiples of 4776

Related Least Common Multiples of 4783

Frequently Asked Questions on LCM of 4776 and 4783

1. What is the LCM of 4776 and 4783?

Answer: LCM of 4776 and 4783 is 22843608.

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 4783?

Answer: Factors of 4783 are 1, 4783. There are 2 integers that are factors of 4783. The greatest factor of 4783 is 4783.

4. How to Find the LCM of 4776 and 4783?

Answer:

Least Common Multiple of 4776 and 4783 = 22843608

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 4783

4783 = 4783

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

LCM = 22843608 = 2 x 2 x 2 x 3 x 199 x 4783

Step 4: Therefore, the least common multiple of 4776 and 4783 is 22843608.