Least Common Multiple of 418 and 426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 418 and 426 the smallest integer that is 89034 that is divisible by both numbers.

Least Common Multiple (LCM) of 418 and 426 is 89034.

LCM(418,426) = 89034

LCM of 418 and 426

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

LCM of:
and

Least Common Multiple of 418 and 426

LCM of 418 and 426 is 89034

Least common multiple can be found by multiplying the highest exponent prime factors of 418 and 426. First we will calculate the prime factors of 418 and 426.

Prime Factorization of 418


2 418
11 209
19 19
1

Prime factors of 418 are 2, 11,19. Prime factorization of 418 in exponential form is:

418 = 21×111×191

Prime Factorization of 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 418 and 426.

LCM(418,426) = 21×31×111×191×711
LCM(418,426) = 89034

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Least Common Multiple of 418 and 426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 418 and 426, than apply into the LCM equation.

GCF(418,426) = 2
LCM(418,426) = ( 418 × 426) / 2
LCM(418,426) = 178068 / 2
LCM(418,426) = 89034

Properties of LCM 418 and 426

(i) The LCM of 426 and 418 is associative

LCM of 418 and 426 = LCM of 426 and 418

Related Least Common Multiples of 418

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 418 and 426

1. What is the LCM of 418 and 426?

Answer: LCM of 418 and 426 is 89034.

2. What are the Factors of 418?

Answer: Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. There are 8 integers that are factors of 418. The greatest factor of 418 is 418.

3. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

4. How to Find the LCM of 418 and 426?

Answer:

Least Common Multiple of 418 and 426 = 89034

Step 1: Find the prime factorization of 418

418 = 2 x 11 x 19

Step 2: Find the prime factorization of 426

426 = 2 x 3 x 71

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

LCM = 89034 = 2 x 3 x 11 x 19 x 71

Step 4: Therefore, the least common multiple of 418 and 426 is 89034.