Least Common Multiple of 4677 and 4685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4677 and 4685 the smallest integer that is 21911745 that is divisible by both numbers.

Least Common Multiple (LCM) of 4677 and 4685 is 21911745.

LCM(4677,4685) = 21911745

LCM of 4677 and 4685

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

LCM of:
and

Least Common Multiple of 4677 and 4685

LCM of 4677 and 4685 is 21911745

Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4685. First we will calculate the prime factors of 4677 and 4685.

Prime Factorization of 4677


3 4677
1559 1559
1

Prime factors of 4677 are 3,1559. Prime factorization of 4677 in exponential form is:

4677 = 31×15591

Prime Factorization of 4685


5 4685
937 937
1

Prime factors of 4685 are 5,937. Prime factorization of 4685 in exponential form is:

4685 = 51×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4685.

LCM(4677,4685) = 31×51×9371×15591
LCM(4677,4685) = 21911745

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1, 3, 1559, 4677

Factors of 4685

List of positive integer factors of 4685 that divides 4685 without a remainder.

1, 5, 937, 4685

Least Common Multiple of 4677 and 4685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4685, than apply into the LCM equation.

GCF(4677,4685) = 1
LCM(4677,4685) = ( 4677 × 4685) / 1
LCM(4677,4685) = 21911745 / 1
LCM(4677,4685) = 21911745

Properties of LCM 4677 and 4685

(i) The LCM of 4685 and 4677 is associative

LCM of 4677 and 4685 = LCM of 4685 and 4677

Related Least Common Multiples of 4677

Related Least Common Multiples of 4685

Frequently Asked Questions on LCM of 4677 and 4685

1. What is the LCM of 4677 and 4685?

Answer: LCM of 4677 and 4685 is 21911745.

2. What are the Factors of 4677?

Answer: Factors of 4677 are 1, 3, 1559, 4677. There are 4 integers that are factors of 4677. The greatest factor of 4677 is 4677.

3. What are the Factors of 4685?

Answer: Factors of 4685 are 1, 5, 937, 4685. There are 4 integers that are factors of 4685. The greatest factor of 4685 is 4685.

4. How to Find the LCM of 4677 and 4685?

Answer:

Least Common Multiple of 4677 and 4685 = 21911745

Step 1: Find the prime factorization of 4677

4677 = 3 x 1559

Step 2: Find the prime factorization of 4685

4685 = 5 x 937

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

LCM = 21911745 = 3 x 5 x 937 x 1559

Step 4: Therefore, the least common multiple of 4677 and 4685 is 21911745.