Least Common Multiple of 440 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 440 and 446 the smallest integer that is 98120 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 446 is 98120.

LCM(440,446) = 98120

LCM of 440 and 446

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

LCM of:
and

Least Common Multiple of 440 and 446

LCM of 440 and 446 is 98120

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 446. First we will calculate the prime factors of 440 and 446.

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

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 440 and 446.

LCM(440,446) = 23×51×111×2231
LCM(440,446) = 98120

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Factors of 446

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

1, 2, 223, 446

Least Common Multiple of 440 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 440 and 446, than apply into the LCM equation.

GCF(440,446) = 2
LCM(440,446) = ( 440 × 446) / 2
LCM(440,446) = 196240 / 2
LCM(440,446) = 98120

Properties of LCM 440 and 446

(i) The LCM of 446 and 440 is associative

LCM of 440 and 446 = LCM of 446 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 446

Frequently Asked Questions on LCM of 440 and 446

1. What is the LCM of 440 and 446?

Answer: LCM of 440 and 446 is 98120.

2. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

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 440 and 446?

Answer:

Least Common Multiple of 440 and 446 = 98120

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

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 = 98120 = 2 x 2 x 2 x 5 x 11 x 223

Step 4: Therefore, the least common multiple of 440 and 446 is 98120.