Least Common Multiple of 707 and 712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 707 and 712 the smallest integer that is 503384 that is divisible by both numbers.

Least Common Multiple (LCM) of 707 and 712 is 503384.

LCM(707,712) = 503384

LCM of 707 and 712

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

LCM of:
and

Least Common Multiple of 707 and 712

LCM of 707 and 712 is 503384

Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 712. First we will calculate the prime factors of 707 and 712.

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

Prime Factorization of 712


2 712
2 356
2 178
89 89
1

Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:

712 = 23×891

Now multiplying the highest exponent prime factors to calculate the LCM of 707 and 712.

LCM(707,712) = 23×71×891×1011
LCM(707,712) = 503384

Factors of 707

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

1, 7, 101, 707

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Least Common Multiple of 707 and 712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 707 and 712, than apply into the LCM equation.

GCF(707,712) = 1
LCM(707,712) = ( 707 × 712) / 1
LCM(707,712) = 503384 / 1
LCM(707,712) = 503384

Properties of LCM 707 and 712

(i) The LCM of 712 and 707 is associative

LCM of 707 and 712 = LCM of 712 and 707

Related Least Common Multiples of 707

Related Least Common Multiples of 712

Frequently Asked Questions on LCM of 707 and 712

1. What is the LCM of 707 and 712?

Answer: LCM of 707 and 712 is 503384.

2. 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.

3. What are the Factors of 712?

Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.

4. How to Find the LCM of 707 and 712?

Answer:

Least Common Multiple of 707 and 712 = 503384

Step 1: Find the prime factorization of 707

707 = 7 x 101

Step 2: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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

LCM = 503384 = 2 x 2 x 2 x 7 x 89 x 101

Step 4: Therefore, the least common multiple of 707 and 712 is 503384.