Least Common Multiple of 68760 and 68765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68760 and 68765 the smallest integer that is 945656280 that is divisible by both numbers.

Least Common Multiple (LCM) of 68760 and 68765 is 945656280.

LCM(68760,68765) = 945656280

LCM of 68760 and 68765

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

LCM of:
and

Least Common Multiple of 68760 and 68765

LCM of 68760 and 68765 is 945656280

Least common multiple can be found by multiplying the highest exponent prime factors of 68760 and 68765. First we will calculate the prime factors of 68760 and 68765.

Prime Factorization of 68760


2 68760
2 34380
2 17190
3 8595
3 2865
5 955
191 191
1

Prime factors of 68760 are 2, 3, 5,191. Prime factorization of 68760 in exponential form is:

68760 = 23×32×51×1911

Prime Factorization of 68765


5 68765
17 13753
809 809
1

Prime factors of 68765 are 5, 17,809. Prime factorization of 68765 in exponential form is:

68765 = 51×171×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 68760 and 68765.

LCM(68760,68765) = 23×32×51×171×1911×8091
LCM(68760,68765) = 945656280

Factors of 68760

List of positive integer factors of 68760 that divides 68760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 191, 360, 382, 573, 764, 955, 1146, 1528, 1719, 1910, 2292, 2865, 3438, 3820, 4584, 5730, 6876, 7640, 8595, 11460, 13752, 17190, 22920, 34380, 68760

Factors of 68765

List of positive integer factors of 68765 that divides 68765 without a remainder.

1, 5, 17, 85, 809, 4045, 13753, 68765

Least Common Multiple of 68760 and 68765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68760 and 68765, than apply into the LCM equation.

GCF(68760,68765) = 5
LCM(68760,68765) = ( 68760 × 68765) / 5
LCM(68760,68765) = 4728281400 / 5
LCM(68760,68765) = 945656280

Properties of LCM 68760 and 68765

(i) The LCM of 68765 and 68760 is associative

LCM of 68760 and 68765 = LCM of 68765 and 68760

Related Least Common Multiples of 68760

Related Least Common Multiples of 68765

Frequently Asked Questions on LCM of 68760 and 68765

1. What is the LCM of 68760 and 68765?

Answer: LCM of 68760 and 68765 is 945656280.

2. What are the Factors of 68760?

Answer: Factors of 68760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 191, 360, 382, 573, 764, 955, 1146, 1528, 1719, 1910, 2292, 2865, 3438, 3820, 4584, 5730, 6876, 7640, 8595, 11460, 13752, 17190, 22920, 34380, 68760. There are 48 integers that are factors of 68760. The greatest factor of 68760 is 68760.

3. What are the Factors of 68765?

Answer: Factors of 68765 are 1, 5, 17, 85, 809, 4045, 13753, 68765. There are 8 integers that are factors of 68765. The greatest factor of 68765 is 68765.

4. How to Find the LCM of 68760 and 68765?

Answer:

Least Common Multiple of 68760 and 68765 = 945656280

Step 1: Find the prime factorization of 68760

68760 = 2 x 2 x 2 x 3 x 3 x 5 x 191

Step 2: Find the prime factorization of 68765

68765 = 5 x 17 x 809

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

LCM = 945656280 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 191 x 809

Step 4: Therefore, the least common multiple of 68760 and 68765 is 945656280.