Least Common Multiple of 708 and 715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 708 and 715 the smallest integer that is 506220 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 715 is 506220.

LCM(708,715) = 506220

LCM of 708 and 715

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

LCM of:
and

Least Common Multiple of 708 and 715

LCM of 708 and 715 is 506220

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 715. First we will calculate the prime factors of 708 and 715.

Prime Factorization of 708


2 708
2 354
3 177
59 59
1

Prime factors of 708 are 2, 3,59. Prime factorization of 708 in exponential form is:

708 = 22×31×591

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 715.

LCM(708,715) = 22×31×51×111×131×591
LCM(708,715) = 506220

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Least Common Multiple of 708 and 715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 708 and 715, than apply into the LCM equation.

GCF(708,715) = 1
LCM(708,715) = ( 708 × 715) / 1
LCM(708,715) = 506220 / 1
LCM(708,715) = 506220

Properties of LCM 708 and 715

(i) The LCM of 715 and 708 is associative

LCM of 708 and 715 = LCM of 715 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 715

Frequently Asked Questions on LCM of 708 and 715

1. What is the LCM of 708 and 715?

Answer: LCM of 708 and 715 is 506220.

2. What are the Factors of 708?

Answer: Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. There are 12 integers that are factors of 708. The greatest factor of 708 is 708.

3. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

4. How to Find the LCM of 708 and 715?

Answer:

Least Common Multiple of 708 and 715 = 506220

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 715

715 = 5 x 11 x 13

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

LCM = 506220 = 2 x 2 x 3 x 5 x 11 x 13 x 59

Step 4: Therefore, the least common multiple of 708 and 715 is 506220.