Least Common Multiple of 438 and 446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 438 and 446 the smallest integer that is 97674 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 446 is 97674.

LCM(438,446) = 97674

LCM of 438 and 446

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

LCM of:
and

Least Common Multiple of 438 and 446

LCM of 438 and 446 is 97674

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 446. First we will calculate the prime factors of 438 and 446.

Prime Factorization of 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 446.

LCM(438,446) = 21×31×731×2231
LCM(438,446) = 97674

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Least Common Multiple of 438 and 446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 446, than apply into the LCM equation.

GCF(438,446) = 2
LCM(438,446) = ( 438 × 446) / 2
LCM(438,446) = 195348 / 2
LCM(438,446) = 97674

Properties of LCM 438 and 446

(i) The LCM of 446 and 438 is associative

LCM of 438 and 446 = LCM of 446 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 446

Frequently Asked Questions on LCM of 438 and 446

1. What is the LCM of 438 and 446?

Answer: LCM of 438 and 446 is 97674.

2. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

3. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

4. How to Find the LCM of 438 and 446?

Answer:

Least Common Multiple of 438 and 446 = 97674

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 446

446 = 2 x 223

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

LCM = 97674 = 2 x 3 x 73 x 223

Step 4: Therefore, the least common multiple of 438 and 446 is 97674.