Least Common Multiple of 68744 and 68749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68744 and 68749 the smallest integer that is 4726081256 that is divisible by both numbers.

Least Common Multiple (LCM) of 68744 and 68749 is 4726081256.

LCM(68744,68749) = 4726081256

LCM of 68744 and 68749

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

LCM of:
and

Least Common Multiple of 68744 and 68749

LCM of 68744 and 68749 is 4726081256

Least common multiple can be found by multiplying the highest exponent prime factors of 68744 and 68749. First we will calculate the prime factors of 68744 and 68749.

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

Prime Factorization of 68749


68749 68749
1

Prime factors of 68749 are 68749. Prime factorization of 68749 in exponential form is:

68749 = 687491

Now multiplying the highest exponent prime factors to calculate the LCM of 68744 and 68749.

LCM(68744,68749) = 23×131×6611×687491
LCM(68744,68749) = 4726081256

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

Factors of 68749

List of positive integer factors of 68749 that divides 68749 without a remainder.

1, 68749

Least Common Multiple of 68744 and 68749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68744 and 68749, than apply into the LCM equation.

GCF(68744,68749) = 1
LCM(68744,68749) = ( 68744 × 68749) / 1
LCM(68744,68749) = 4726081256 / 1
LCM(68744,68749) = 4726081256

Properties of LCM 68744 and 68749

(i) The LCM of 68749 and 68744 is associative

LCM of 68744 and 68749 = LCM of 68749 and 68744

Related Least Common Multiples of 68744

Related Least Common Multiples of 68749

Frequently Asked Questions on LCM of 68744 and 68749

1. What is the LCM of 68744 and 68749?

Answer: LCM of 68744 and 68749 is 4726081256.

2. 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.

3. What are the Factors of 68749?

Answer: Factors of 68749 are 1, 68749. There are 2 integers that are factors of 68749. The greatest factor of 68749 is 68749.

4. How to Find the LCM of 68744 and 68749?

Answer:

Least Common Multiple of 68744 and 68749 = 4726081256

Step 1: Find the prime factorization of 68744

68744 = 2 x 2 x 2 x 13 x 661

Step 2: Find the prime factorization of 68749

68749 = 68749

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

LCM = 4726081256 = 2 x 2 x 2 x 13 x 661 x 68749

Step 4: Therefore, the least common multiple of 68744 and 68749 is 4726081256.