Least Common Multiple of 701 and 707

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 707 the smallest integer that is 495607 that is divisible by both numbers.

Least Common Multiple (LCM) of 701 and 707 is 495607.

LCM(701,707) = 495607

LCM of 701 and 707

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

LCM of:
and

Least Common Multiple of 701 and 707

LCM of 701 and 707 is 495607

Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 707. First we will calculate the prime factors of 701 and 707.

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 707


7 707
101 101
1

Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:

707 = 71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 701 and 707.

LCM(701,707) = 71×1011×7011
LCM(701,707) = 495607

Factors of 701

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

1, 701

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Least Common Multiple of 701 and 707 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 707, than apply into the LCM equation.

GCF(701,707) = 1
LCM(701,707) = ( 701 × 707) / 1
LCM(701,707) = 495607 / 1
LCM(701,707) = 495607

Properties of LCM 701 and 707

(i) The LCM of 707 and 701 is associative

LCM of 701 and 707 = LCM of 707 and 701

Related Least Common Multiples of 701

Related Least Common Multiples of 707

Frequently Asked Questions on LCM of 701 and 707

1. What is the LCM of 701 and 707?

Answer: LCM of 701 and 707 is 495607.

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 707?

Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.

4. How to Find the LCM of 701 and 707?

Answer:

Least Common Multiple of 701 and 707 = 495607

Step 1: Find the prime factorization of 701

701 = 701

Step 2: Find the prime factorization of 707

707 = 7 x 101

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

LCM = 495607 = 7 x 101 x 701

Step 4: Therefore, the least common multiple of 701 and 707 is 495607.