Least Common Multiple of 5900 and 5907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5900 and 5907 the smallest integer that is 34851300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5900 and 5907 is 34851300.

LCM(5900,5907) = 34851300

LCM of 5900 and 5907

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

LCM of:
and

Least Common Multiple of 5900 and 5907

LCM of 5900 and 5907 is 34851300

Least common multiple can be found by multiplying the highest exponent prime factors of 5900 and 5907. First we will calculate the prime factors of 5900 and 5907.

Prime Factorization of 5900


2 5900
2 2950
5 1475
5 295
59 59
1

Prime factors of 5900 are 2, 5,59. Prime factorization of 5900 in exponential form is:

5900 = 22×52×591

Prime Factorization of 5907


3 5907
11 1969
179 179
1

Prime factors of 5907 are 3, 11,179. Prime factorization of 5907 in exponential form is:

5907 = 31×111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 5900 and 5907.

LCM(5900,5907) = 22×31×52×111×591×1791
LCM(5900,5907) = 34851300

Factors of 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900

Factors of 5907

List of positive integer factors of 5907 that divides 5907 without a remainder.

1, 3, 11, 33, 179, 537, 1969, 5907

Least Common Multiple of 5900 and 5907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5900 and 5907, than apply into the LCM equation.

GCF(5900,5907) = 1
LCM(5900,5907) = ( 5900 × 5907) / 1
LCM(5900,5907) = 34851300 / 1
LCM(5900,5907) = 34851300

Properties of LCM 5900 and 5907

(i) The LCM of 5907 and 5900 is associative

LCM of 5900 and 5907 = LCM of 5907 and 5900

Related Least Common Multiples of 5900

Related Least Common Multiples of 5907

Frequently Asked Questions on LCM of 5900 and 5907

1. What is the LCM of 5900 and 5907?

Answer: LCM of 5900 and 5907 is 34851300.

2. What are the Factors of 5900?

Answer: Factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900. There are 18 integers that are factors of 5900. The greatest factor of 5900 is 5900.

3. What are the Factors of 5907?

Answer: Factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907. There are 8 integers that are factors of 5907. The greatest factor of 5907 is 5907.

4. How to Find the LCM of 5900 and 5907?

Answer:

Least Common Multiple of 5900 and 5907 = 34851300

Step 1: Find the prime factorization of 5900

5900 = 2 x 2 x 5 x 5 x 59

Step 2: Find the prime factorization of 5907

5907 = 3 x 11 x 179

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

LCM = 34851300 = 2 x 2 x 3 x 5 x 5 x 11 x 59 x 179

Step 4: Therefore, the least common multiple of 5900 and 5907 is 34851300.