Least Common Multiple of 5937 and 5945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5937 and 5945 the smallest integer that is 35295465 that is divisible by both numbers.

Least Common Multiple (LCM) of 5937 and 5945 is 35295465.

LCM(5937,5945) = 35295465

LCM of 5937 and 5945

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

LCM of:
and

Least Common Multiple of 5937 and 5945

LCM of 5937 and 5945 is 35295465

Least common multiple can be found by multiplying the highest exponent prime factors of 5937 and 5945. First we will calculate the prime factors of 5937 and 5945.

Prime Factorization of 5937


3 5937
1979 1979
1

Prime factors of 5937 are 3,1979. Prime factorization of 5937 in exponential form is:

5937 = 31×19791

Prime Factorization of 5945


5 5945
29 1189
41 41
1

Prime factors of 5945 are 5, 29,41. Prime factorization of 5945 in exponential form is:

5945 = 51×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5937 and 5945.

LCM(5937,5945) = 31×51×291×411×19791
LCM(5937,5945) = 35295465

Factors of 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1, 3, 1979, 5937

Factors of 5945

List of positive integer factors of 5945 that divides 5945 without a remainder.

1, 5, 29, 41, 145, 205, 1189, 5945

Least Common Multiple of 5937 and 5945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5937 and 5945, than apply into the LCM equation.

GCF(5937,5945) = 1
LCM(5937,5945) = ( 5937 × 5945) / 1
LCM(5937,5945) = 35295465 / 1
LCM(5937,5945) = 35295465

Properties of LCM 5937 and 5945

(i) The LCM of 5945 and 5937 is associative

LCM of 5937 and 5945 = LCM of 5945 and 5937

Related Least Common Multiples of 5937

Related Least Common Multiples of 5945

Frequently Asked Questions on LCM of 5937 and 5945

1. What is the LCM of 5937 and 5945?

Answer: LCM of 5937 and 5945 is 35295465.

2. What are the Factors of 5937?

Answer: Factors of 5937 are 1, 3, 1979, 5937. There are 4 integers that are factors of 5937. The greatest factor of 5937 is 5937.

3. What are the Factors of 5945?

Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.

4. How to Find the LCM of 5937 and 5945?

Answer:

Least Common Multiple of 5937 and 5945 = 35295465

Step 1: Find the prime factorization of 5937

5937 = 3 x 1979

Step 2: Find the prime factorization of 5945

5945 = 5 x 29 x 41

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

LCM = 35295465 = 3 x 5 x 29 x 41 x 1979

Step 4: Therefore, the least common multiple of 5937 and 5945 is 35295465.