Least Common Multiple of 701 and 705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 701 and 705 the smallest integer that is 494205 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 705 is 494205.

LCM(701,705) = 494205

LCM of 701 and 705

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

LCM of:
and

Least Common Multiple of 701 and 705

LCM of 701 and 705 is 494205

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 705. First we will calculate the prime factors of 701 and 705.

Prime Factorization of 701


701 701
1

Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:

701 = 7011

Prime Factorization of 705


3 705
5 235
47 47
1

Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 701 and 705.

LCM(701,705) = 31×51×471×7011
LCM(701,705) = 494205

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1, 701

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Least Common Multiple of 701 and 705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 701 and 705, than apply into the LCM equation.

GCF(701,705) = 1
LCM(701,705) = ( 701 × 705) / 1
LCM(701,705) = 494205 / 1
LCM(701,705) = 494205

Properties of LCM 701 and 705

(i) The LCM of 705 and 701 is associative

LCM of 701 and 705 = LCM of 705 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 705

Frequently Asked Questions on LCM of 701 and 705

1. What is the LCM of 701 and 705?

Answer: LCM of 701 and 705 is 494205.

2. What are the Factors of 701?

Answer: Factors of 701 are 1, 701. There are 2 integers that are factors of 701. The greatest factor of 701 is 701.

3. What are the Factors of 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

4. How to Find the LCM of 701 and 705?

Answer:

Least Common Multiple of 701 and 705 = 494205

Step 1: Find the prime factorization of 701

701 = 701

Step 2: Find the prime factorization of 705

705 = 3 x 5 x 47

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

LCM = 494205 = 3 x 5 x 47 x 701

Step 4: Therefore, the least common multiple of 701 and 705 is 494205.