Least Common Multiple of 68737 and 68744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68737 and 68744 the smallest integer that is 4725256328 that is divisible by both numbers.

Least Common Multiple (LCM) of 68737 and 68744 is 4725256328.

LCM(68737,68744) = 4725256328

LCM of 68737 and 68744

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

LCM of:
and

Least Common Multiple of 68737 and 68744

LCM of 68737 and 68744 is 4725256328

Least common multiple can be found by multiplying the highest exponent prime factors of 68737 and 68744. First we will calculate the prime factors of 68737 and 68744.

Prime Factorization of 68737


68737 68737
1

Prime factors of 68737 are 68737. Prime factorization of 68737 in exponential form is:

68737 = 687371

Prime Factorization of 68744


2 68744
2 34372
2 17186
13 8593
661 661
1

Prime factors of 68744 are 2, 13,661. Prime factorization of 68744 in exponential form is:

68744 = 23×131×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 68737 and 68744.

LCM(68737,68744) = 23×131×6611×687371
LCM(68737,68744) = 4725256328

Factors of 68737

List of positive integer factors of 68737 that divides 68737 without a remainder.

1, 68737

Factors of 68744

List of positive integer factors of 68744 that divides 68744 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 661, 1322, 2644, 5288, 8593, 17186, 34372, 68744

Least Common Multiple of 68737 and 68744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68737 and 68744, than apply into the LCM equation.

GCF(68737,68744) = 1
LCM(68737,68744) = ( 68737 × 68744) / 1
LCM(68737,68744) = 4725256328 / 1
LCM(68737,68744) = 4725256328

Properties of LCM 68737 and 68744

(i) The LCM of 68744 and 68737 is associative

LCM of 68737 and 68744 = LCM of 68744 and 68737

Related Least Common Multiples of 68737

Related Least Common Multiples of 68744

Frequently Asked Questions on LCM of 68737 and 68744

1. What is the LCM of 68737 and 68744?

Answer: LCM of 68737 and 68744 is 4725256328.

2. What are the Factors of 68737?

Answer: Factors of 68737 are 1, 68737. There are 2 integers that are factors of 68737. The greatest factor of 68737 is 68737.

3. What are the Factors of 68744?

Answer: Factors of 68744 are 1, 2, 4, 8, 13, 26, 52, 104, 661, 1322, 2644, 5288, 8593, 17186, 34372, 68744. There are 16 integers that are factors of 68744. The greatest factor of 68744 is 68744.

4. How to Find the LCM of 68737 and 68744?

Answer:

Least Common Multiple of 68737 and 68744 = 4725256328

Step 1: Find the prime factorization of 68737

68737 = 68737

Step 2: Find the prime factorization of 68744

68744 = 2 x 2 x 2 x 13 x 661

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

LCM = 4725256328 = 2 x 2 x 2 x 13 x 661 x 68737

Step 4: Therefore, the least common multiple of 68737 and 68744 is 4725256328.