Least Common Multiple of 63700 and 63707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 63700 and 63707 the smallest integer that is 579733700 that is divisible by both numbers.

Least Common Multiple (LCM) of 63700 and 63707 is 579733700.

LCM(63700,63707) = 579733700

LCM of 63700 and 63707

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

LCM of:
and

Least Common Multiple of 63700 and 63707

LCM of 63700 and 63707 is 579733700

Least common multiple can be found by multiplying the highest exponent prime factors of 63700 and 63707. First we will calculate the prime factors of 63700 and 63707.

Prime Factorization of 63700


2 63700
2 31850
5 15925
5 3185
7 637
7 91
13 13
1

Prime factors of 63700 are 2, 5, 7,13. Prime factorization of 63700 in exponential form is:

63700 = 22×52×72×131

Prime Factorization of 63707


7 63707
19 9101
479 479
1

Prime factors of 63707 are 7, 19,479. Prime factorization of 63707 in exponential form is:

63707 = 71×191×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 63700 and 63707.

LCM(63700,63707) = 22×52×72×131×191×4791
LCM(63700,63707) = 579733700

Factors of 63700

List of positive integer factors of 63700 that divides 63700 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850, 63700

Factors of 63707

List of positive integer factors of 63707 that divides 63707 without a remainder.

1, 7, 19, 133, 479, 3353, 9101, 63707

Least Common Multiple of 63700 and 63707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63700 and 63707, than apply into the LCM equation.

GCF(63700,63707) = 7
LCM(63700,63707) = ( 63700 × 63707) / 7
LCM(63700,63707) = 4058135900 / 7
LCM(63700,63707) = 579733700

Properties of LCM 63700 and 63707

(i) The LCM of 63707 and 63700 is associative

LCM of 63700 and 63707 = LCM of 63707 and 63700

Related Least Common Multiples of 63700

Related Least Common Multiples of 63707

Frequently Asked Questions on LCM of 63700 and 63707

1. What is the LCM of 63700 and 63707?

Answer: LCM of 63700 and 63707 is 579733700.

2. What are the Factors of 63700?

Answer: Factors of 63700 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850, 63700. There are 54 integers that are factors of 63700. The greatest factor of 63700 is 63700.

3. What are the Factors of 63707?

Answer: Factors of 63707 are 1, 7, 19, 133, 479, 3353, 9101, 63707. There are 8 integers that are factors of 63707. The greatest factor of 63707 is 63707.

4. How to Find the LCM of 63700 and 63707?

Answer:

Least Common Multiple of 63700 and 63707 = 579733700

Step 1: Find the prime factorization of 63700

63700 = 2 x 2 x 5 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 63707

63707 = 7 x 19 x 479

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

LCM = 579733700 = 2 x 2 x 5 x 5 x 7 x 7 x 13 x 19 x 479

Step 4: Therefore, the least common multiple of 63700 and 63707 is 579733700.