Least Common Multiple of 4762 and 4770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4762 and 4770 the smallest integer that is 11357370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4762 and 4770 is 11357370.

LCM(4762,4770) = 11357370

LCM of 4762 and 4770

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

LCM of:
and

Least Common Multiple of 4762 and 4770

LCM of 4762 and 4770 is 11357370

Least common multiple can be found by multiplying the highest exponent prime factors of 4762 and 4770. First we will calculate the prime factors of 4762 and 4770.

Prime Factorization of 4762


2 4762
2381 2381
1

Prime factors of 4762 are 2,2381. Prime factorization of 4762 in exponential form is:

4762 = 21×23811

Prime Factorization of 4770


2 4770
3 2385
3 795
5 265
53 53
1

Prime factors of 4770 are 2, 3, 5,53. Prime factorization of 4770 in exponential form is:

4770 = 21×32×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4762 and 4770.

LCM(4762,4770) = 21×32×51×531×23811
LCM(4762,4770) = 11357370

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1, 2, 2381, 4762

Factors of 4770

List of positive integer factors of 4770 that divides 4770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770

Least Common Multiple of 4762 and 4770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4762 and 4770, than apply into the LCM equation.

GCF(4762,4770) = 2
LCM(4762,4770) = ( 4762 × 4770) / 2
LCM(4762,4770) = 22714740 / 2
LCM(4762,4770) = 11357370

Properties of LCM 4762 and 4770

(i) The LCM of 4770 and 4762 is associative

LCM of 4762 and 4770 = LCM of 4770 and 4762

Related Least Common Multiples of 4762

Related Least Common Multiples of 4770

Frequently Asked Questions on LCM of 4762 and 4770

1. What is the LCM of 4762 and 4770?

Answer: LCM of 4762 and 4770 is 11357370.

2. What are the Factors of 4762?

Answer: Factors of 4762 are 1, 2, 2381, 4762. There are 4 integers that are factors of 4762. The greatest factor of 4762 is 4762.

3. What are the Factors of 4770?

Answer: Factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770. There are 24 integers that are factors of 4770. The greatest factor of 4770 is 4770.

4. How to Find the LCM of 4762 and 4770?

Answer:

Least Common Multiple of 4762 and 4770 = 11357370

Step 1: Find the prime factorization of 4762

4762 = 2 x 2381

Step 2: Find the prime factorization of 4770

4770 = 2 x 3 x 3 x 5 x 53

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

LCM = 11357370 = 2 x 3 x 3 x 5 x 53 x 2381

Step 4: Therefore, the least common multiple of 4762 and 4770 is 11357370.