Least Common Multiple of 68754 and 68760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68754 and 68760 the smallest integer that is 787920840 that is divisible by both numbers.

Least Common Multiple (LCM) of 68754 and 68760 is 787920840.

LCM(68754,68760) = 787920840

LCM of 68754 and 68760

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

LCM of:
and

Least Common Multiple of 68754 and 68760

LCM of 68754 and 68760 is 787920840

Least common multiple can be found by multiplying the highest exponent prime factors of 68754 and 68760. First we will calculate the prime factors of 68754 and 68760.

Prime Factorization of 68754


2 68754
3 34377
7 11459
1637 1637
1

Prime factors of 68754 are 2, 3, 7,1637. Prime factorization of 68754 in exponential form is:

68754 = 21×31×71×16371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68754 and 68760.

LCM(68754,68760) = 23×32×51×71×1911×16371
LCM(68754,68760) = 787920840

Factors of 68754

List of positive integer factors of 68754 that divides 68754 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377, 68754

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

Least Common Multiple of 68754 and 68760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68754 and 68760, than apply into the LCM equation.

GCF(68754,68760) = 6
LCM(68754,68760) = ( 68754 × 68760) / 6
LCM(68754,68760) = 4727525040 / 6
LCM(68754,68760) = 787920840

Properties of LCM 68754 and 68760

(i) The LCM of 68760 and 68754 is associative

LCM of 68754 and 68760 = LCM of 68760 and 68754

Related Least Common Multiples of 68754

Related Least Common Multiples of 68760

Frequently Asked Questions on LCM of 68754 and 68760

1. What is the LCM of 68754 and 68760?

Answer: LCM of 68754 and 68760 is 787920840.

2. What are the Factors of 68754?

Answer: Factors of 68754 are 1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377, 68754. There are 16 integers that are factors of 68754. The greatest factor of 68754 is 68754.

3. 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.

4. How to Find the LCM of 68754 and 68760?

Answer:

Least Common Multiple of 68754 and 68760 = 787920840

Step 1: Find the prime factorization of 68754

68754 = 2 x 3 x 7 x 1637

Step 2: Find the prime factorization of 68760

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

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

LCM = 787920840 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 191 x 1637

Step 4: Therefore, the least common multiple of 68754 and 68760 is 787920840.