Least Common Multiple of 307419 and 307426

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

• Least Common Multiple of 307419 and 307426 by Prime method
• Least Common Multiple of 307419 and 307426 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307419 and 307426. First we will calculate the prime factors of 307419 and 307426.

Prime Factorization of 307419

Prime factors of 307419 are 3, 7,14639. Prime factorization of 307419 in exponential form is:

307419 = 3¹×7¹×14639¹

Prime Factorization of 307426

Prime factors of 307426 are 2, 7,3137. Prime factorization of 307426 in exponential form is:

307426 = 2¹×7²×3137¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307419 and 307426.

LCM(307419,307426) = 2¹×3¹×7²×3137¹×14639¹
LCM(307419,307426) = 13501227642

Factors of 307419

List of positive integer factors of 307419 that divides 307419 without a remainder.

1, 3, 7, 21, 14639, 43917, 102473, 307419

Factors of 307426

List of positive integer factors of 307426 that divides 307426 without a remainder.

1, 2, 7, 14, 49, 98, 3137, 6274, 21959, 43918, 153713, 307426

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307419 and 307426, than apply into the LCM equation.

GCF(307419,307426) = 7
LCM(307419,307426) = ( 307419 × 307426) / 7
LCM(307419,307426) = 94508593494 / 7
LCM(307419,307426) = 13501227642

(i) The LCM of 307426 and 307419 is associative

LCM of 307419 and 307426 = LCM of 307426 and 307419

1. What is the LCM of 307419 and 307426?

Answer: LCM of 307419 and 307426 is 13501227642.

2. What are the Factors of 307419?

Answer: Factors of 307419 are 1, 3, 7, 21, 14639, 43917, 102473, 307419. There are 8 integers that are factors of 307419. The greatest factor of 307419 is 307419.

3. What are the Factors of 307426?

Answer: Factors of 307426 are 1, 2, 7, 14, 49, 98, 3137, 6274, 21959, 43918, 153713, 307426. There are 12 integers that are factors of 307426. The greatest factor of 307426 is 307426.

4. How to Find the LCM of 307419 and 307426?

Answer:

Least Common Multiple of 307419 and 307426 = 13501227642

Step 1: Find the prime factorization of 307419

307419 = 3 x 7 x 14639

Step 2: Find the prime factorization of 307426

307426 = 2 x 7 x 7 x 3137

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

LCM = 13501227642 = 2 x 3 x 7 x 7 x 3137 x 14639

Step 4: Therefore, the least common multiple of 307419 and 307426 is 13501227642.