Least Common Multiple of 82350 and 82354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82350 and 82354 the smallest integer that is 3390925950 that is divisible by both numbers.

Least Common Multiple (LCM) of 82350 and 82354 is 3390925950.

LCM(82350,82354) = 3390925950

LCM of 82350 and 82354

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

LCM of:
and

Least Common Multiple of 82350 and 82354

LCM of 82350 and 82354 is 3390925950

Least common multiple can be found by multiplying the highest exponent prime factors of 82350 and 82354. First we will calculate the prime factors of 82350 and 82354.

Prime Factorization of 82350


2 82350
3 41175
3 13725
3 4575
5 1525
5 305
61 61
1

Prime factors of 82350 are 2, 3, 5,61. Prime factorization of 82350 in exponential form is:

82350 = 21×33×52×611

Prime Factorization of 82354


2 82354
41177 41177
1

Prime factors of 82354 are 2,41177. Prime factorization of 82354 in exponential form is:

82354 = 21×411771

Now multiplying the highest exponent prime factors to calculate the LCM of 82350 and 82354.

LCM(82350,82354) = 21×33×52×611×411771
LCM(82350,82354) = 3390925950

Factors of 82350

List of positive integer factors of 82350 that divides 82350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 61, 75, 90, 122, 135, 150, 183, 225, 270, 305, 366, 450, 549, 610, 675, 915, 1098, 1350, 1525, 1647, 1830, 2745, 3050, 3294, 4575, 5490, 8235, 9150, 13725, 16470, 27450, 41175, 82350

Factors of 82354

List of positive integer factors of 82354 that divides 82354 without a remainder.

1, 2, 41177, 82354

Least Common Multiple of 82350 and 82354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82350 and 82354, than apply into the LCM equation.

GCF(82350,82354) = 2
LCM(82350,82354) = ( 82350 × 82354) / 2
LCM(82350,82354) = 6781851900 / 2
LCM(82350,82354) = 3390925950

Properties of LCM 82350 and 82354

(i) The LCM of 82354 and 82350 is associative

LCM of 82350 and 82354 = LCM of 82354 and 82350

Related Least Common Multiples of 82350

Related Least Common Multiples of 82354

Frequently Asked Questions on LCM of 82350 and 82354

1. What is the LCM of 82350 and 82354?

Answer: LCM of 82350 and 82354 is 3390925950.

2. What are the Factors of 82350?

Answer: Factors of 82350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 61, 75, 90, 122, 135, 150, 183, 225, 270, 305, 366, 450, 549, 610, 675, 915, 1098, 1350, 1525, 1647, 1830, 2745, 3050, 3294, 4575, 5490, 8235, 9150, 13725, 16470, 27450, 41175, 82350. There are 48 integers that are factors of 82350. The greatest factor of 82350 is 82350.

3. What are the Factors of 82354?

Answer: Factors of 82354 are 1, 2, 41177, 82354. There are 4 integers that are factors of 82354. The greatest factor of 82354 is 82354.

4. How to Find the LCM of 82350 and 82354?

Answer:

Least Common Multiple of 82350 and 82354 = 3390925950

Step 1: Find the prime factorization of 82350

82350 = 2 x 3 x 3 x 3 x 5 x 5 x 61

Step 2: Find the prime factorization of 82354

82354 = 2 x 41177

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

LCM = 3390925950 = 2 x 3 x 3 x 3 x 5 x 5 x 61 x 41177

Step 4: Therefore, the least common multiple of 82350 and 82354 is 3390925950.