Least Common Multiple of 39244 and 39250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39244 and 39250 the smallest integer that is 770163500 that is divisible by both numbers.

Least Common Multiple (LCM) of 39244 and 39250 is 770163500.

LCM(39244,39250) = 770163500

LCM of 39244 and 39250

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

LCM of:
and

Least Common Multiple of 39244 and 39250

LCM of 39244 and 39250 is 770163500

Least common multiple can be found by multiplying the highest exponent prime factors of 39244 and 39250. First we will calculate the prime factors of 39244 and 39250.

Prime Factorization of 39244


2 39244
2 19622
9811 9811
1

Prime factors of 39244 are 2,9811. Prime factorization of 39244 in exponential form is:

39244 = 22×98111

Prime Factorization of 39250


2 39250
5 19625
5 3925
5 785
157 157
1

Prime factors of 39250 are 2, 5,157. Prime factorization of 39250 in exponential form is:

39250 = 21×53×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 39244 and 39250.

LCM(39244,39250) = 22×53×1571×98111
LCM(39244,39250) = 770163500

Factors of 39244

List of positive integer factors of 39244 that divides 39244 without a remainder.

1, 2, 4, 9811, 19622, 39244

Factors of 39250

List of positive integer factors of 39250 that divides 39250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250

Least Common Multiple of 39244 and 39250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39244 and 39250, than apply into the LCM equation.

GCF(39244,39250) = 2
LCM(39244,39250) = ( 39244 × 39250) / 2
LCM(39244,39250) = 1540327000 / 2
LCM(39244,39250) = 770163500

Properties of LCM 39244 and 39250

(i) The LCM of 39250 and 39244 is associative

LCM of 39244 and 39250 = LCM of 39250 and 39244

Related Least Common Multiples of 39244

Related Least Common Multiples of 39250

Frequently Asked Questions on LCM of 39244 and 39250

1. What is the LCM of 39244 and 39250?

Answer: LCM of 39244 and 39250 is 770163500.

2. What are the Factors of 39244?

Answer: Factors of 39244 are 1, 2, 4, 9811, 19622, 39244. There are 6 integers that are factors of 39244. The greatest factor of 39244 is 39244.

3. What are the Factors of 39250?

Answer: Factors of 39250 are 1, 2, 5, 10, 25, 50, 125, 157, 250, 314, 785, 1570, 3925, 7850, 19625, 39250. There are 16 integers that are factors of 39250. The greatest factor of 39250 is 39250.

4. How to Find the LCM of 39244 and 39250?

Answer:

Least Common Multiple of 39244 and 39250 = 770163500

Step 1: Find the prime factorization of 39244

39244 = 2 x 2 x 9811

Step 2: Find the prime factorization of 39250

39250 = 2 x 5 x 5 x 5 x 157

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

LCM = 770163500 = 2 x 2 x 5 x 5 x 5 x 157 x 9811

Step 4: Therefore, the least common multiple of 39244 and 39250 is 770163500.