Least Common Multiple of 4701 and 4705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4701 and 4705 the smallest integer that is 22118205 that is divisible by both numbers.

Least Common Multiple (LCM) of 4701 and 4705 is 22118205.

LCM(4701,4705) = 22118205

LCM of 4701 and 4705

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

LCM of:
and

Least Common Multiple of 4701 and 4705

LCM of 4701 and 4705 is 22118205

Least common multiple can be found by multiplying the highest exponent prime factors of 4701 and 4705. First we will calculate the prime factors of 4701 and 4705.

Prime Factorization of 4701


3 4701
1567 1567
1

Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:

4701 = 31×15671

Prime Factorization of 4705


5 4705
941 941
1

Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:

4705 = 51×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 4701 and 4705.

LCM(4701,4705) = 31×51×9411×15671
LCM(4701,4705) = 22118205

Factors of 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1, 3, 1567, 4701

Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1, 5, 941, 4705

Least Common Multiple of 4701 and 4705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4701 and 4705, than apply into the LCM equation.

GCF(4701,4705) = 1
LCM(4701,4705) = ( 4701 × 4705) / 1
LCM(4701,4705) = 22118205 / 1
LCM(4701,4705) = 22118205

Properties of LCM 4701 and 4705

(i) The LCM of 4705 and 4701 is associative

LCM of 4701 and 4705 = LCM of 4705 and 4701

Related Least Common Multiples of 4701

Related Least Common Multiples of 4705

Frequently Asked Questions on LCM of 4701 and 4705

1. What is the LCM of 4701 and 4705?

Answer: LCM of 4701 and 4705 is 22118205.

2. What are the Factors of 4701?

Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.

3. What are the Factors of 4705?

Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.

4. How to Find the LCM of 4701 and 4705?

Answer:

Least Common Multiple of 4701 and 4705 = 22118205

Step 1: Find the prime factorization of 4701

4701 = 3 x 1567

Step 2: Find the prime factorization of 4705

4705 = 5 x 941

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

LCM = 22118205 = 3 x 5 x 941 x 1567

Step 4: Therefore, the least common multiple of 4701 and 4705 is 22118205.