Least Common Multiple of 442 and 445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 442 and 445 the smallest integer that is 196690 that is divisible by both numbers.

Least Common Multiple (LCM) of 442 and 445 is 196690.

LCM(442,445) = 196690

LCM of 442 and 445

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

LCM of:
and

Least Common Multiple of 442 and 445

LCM of 442 and 445 is 196690

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 445. First we will calculate the prime factors of 442 and 445.

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 445.

LCM(442,445) = 21×51×131×171×891
LCM(442,445) = 196690

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Least Common Multiple of 442 and 445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 445, than apply into the LCM equation.

GCF(442,445) = 1
LCM(442,445) = ( 442 × 445) / 1
LCM(442,445) = 196690 / 1
LCM(442,445) = 196690

Properties of LCM 442 and 445

(i) The LCM of 445 and 442 is associative

LCM of 442 and 445 = LCM of 445 and 442

Related Least Common Multiples of 442

Related Least Common Multiples of 445

Frequently Asked Questions on LCM of 442 and 445

1. What is the LCM of 442 and 445?

Answer: LCM of 442 and 445 is 196690.

2. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

3. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

4. How to Find the LCM of 442 and 445?

Answer:

Least Common Multiple of 442 and 445 = 196690

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 2: Find the prime factorization of 445

445 = 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 = 196690 = 2 x 5 x 13 x 17 x 89

Step 4: Therefore, the least common multiple of 442 and 445 is 196690.