Least Common Multiple of 4445 and 4450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4445 and 4450 the smallest integer that is 3956050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4445 and 4450 is 3956050.

LCM(4445,4450) = 3956050

LCM of 4445 and 4450

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

LCM of:
and

Least Common Multiple of 4445 and 4450

LCM of 4445 and 4450 is 3956050

Least common multiple can be found by multiplying the highest exponent prime factors of 4445 and 4450. First we will calculate the prime factors of 4445 and 4450.

Prime Factorization of 4445


5 4445
7 889
127 127
1

Prime factors of 4445 are 5, 7,127. Prime factorization of 4445 in exponential form is:

4445 = 51×71×1271

Prime Factorization of 4450


2 4450
5 2225
5 445
89 89
1

Prime factors of 4450 are 2, 5,89. Prime factorization of 4450 in exponential form is:

4450 = 21×52×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4445 and 4450.

LCM(4445,4450) = 21×52×71×891×1271
LCM(4445,4450) = 3956050

Factors of 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1, 5, 7, 35, 127, 635, 889, 4445

Factors of 4450

List of positive integer factors of 4450 that divides 4450 without a remainder.

1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450

Least Common Multiple of 4445 and 4450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4445 and 4450, than apply into the LCM equation.

GCF(4445,4450) = 5
LCM(4445,4450) = ( 4445 × 4450) / 5
LCM(4445,4450) = 19780250 / 5
LCM(4445,4450) = 3956050

Properties of LCM 4445 and 4450

(i) The LCM of 4450 and 4445 is associative

LCM of 4445 and 4450 = LCM of 4450 and 4445

Related Least Common Multiples of 4445

Related Least Common Multiples of 4450

Frequently Asked Questions on LCM of 4445 and 4450

1. What is the LCM of 4445 and 4450?

Answer: LCM of 4445 and 4450 is 3956050.

2. What are the Factors of 4445?

Answer: Factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445. There are 8 integers that are factors of 4445. The greatest factor of 4445 is 4445.

3. What are the Factors of 4450?

Answer: Factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450. There are 12 integers that are factors of 4450. The greatest factor of 4450 is 4450.

4. How to Find the LCM of 4445 and 4450?

Answer:

Least Common Multiple of 4445 and 4450 = 3956050

Step 1: Find the prime factorization of 4445

4445 = 5 x 7 x 127

Step 2: Find the prime factorization of 4450

4450 = 2 x 5 x 5 x 89

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

LCM = 3956050 = 2 x 5 x 5 x 7 x 89 x 127

Step 4: Therefore, the least common multiple of 4445 and 4450 is 3956050.