Least Common Multiple of 314417 and 314424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 314417 and 314424 the smallest integer that is 98860250808 that is divisible by both numbers.

Least Common Multiple (LCM) of 314417 and 314424 is 98860250808.

LCM(314417,314424) = 98860250808

LCM of 314417 and 314424

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

LCM of:
and

Least Common Multiple of 314417 and 314424

LCM of 314417 and 314424 is 98860250808

Least common multiple can be found by multiplying the highest exponent prime factors of 314417 and 314424. First we will calculate the prime factors of 314417 and 314424.

Prime Factorization of 314417


229 314417
1373 1373
1

Prime factors of 314417 are 229,1373. Prime factorization of 314417 in exponential form is:

314417 = 2291×13731

Prime Factorization of 314424


2 314424
2 157212
2 78606
3 39303
3 13101
11 4367
397 397
1

Prime factors of 314424 are 2, 3, 11,397. Prime factorization of 314424 in exponential form is:

314424 = 23×32×111×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 314417 and 314424.

LCM(314417,314424) = 23×32×111×2291×3971×13731
LCM(314417,314424) = 98860250808

Factors of 314417

List of positive integer factors of 314417 that divides 314417 without a remainder.

1, 229, 1373, 314417

Factors of 314424

List of positive integer factors of 314424 that divides 314424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 397, 792, 794, 1191, 1588, 2382, 3176, 3573, 4367, 4764, 7146, 8734, 9528, 13101, 14292, 17468, 26202, 28584, 34936, 39303, 52404, 78606, 104808, 157212, 314424

Least Common Multiple of 314417 and 314424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 314417 and 314424, than apply into the LCM equation.

GCF(314417,314424) = 1
LCM(314417,314424) = ( 314417 × 314424) / 1
LCM(314417,314424) = 98860250808 / 1
LCM(314417,314424) = 98860250808

Properties of LCM 314417 and 314424

(i) The LCM of 314424 and 314417 is associative

LCM of 314417 and 314424 = LCM of 314424 and 314417

Related Least Common Multiples of 314417

Related Least Common Multiples of 314424

Frequently Asked Questions on LCM of 314417 and 314424

1. What is the LCM of 314417 and 314424?

Answer: LCM of 314417 and 314424 is 98860250808.

2. What are the Factors of 314417?

Answer: Factors of 314417 are 1, 229, 1373, 314417. There are 4 integers that are factors of 314417. The greatest factor of 314417 is 314417.

3. What are the Factors of 314424?

Answer: Factors of 314424 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 397, 792, 794, 1191, 1588, 2382, 3176, 3573, 4367, 4764, 7146, 8734, 9528, 13101, 14292, 17468, 26202, 28584, 34936, 39303, 52404, 78606, 104808, 157212, 314424. There are 48 integers that are factors of 314424. The greatest factor of 314424 is 314424.

4. How to Find the LCM of 314417 and 314424?

Answer:

Least Common Multiple of 314417 and 314424 = 98860250808

Step 1: Find the prime factorization of 314417

314417 = 229 x 1373

Step 2: Find the prime factorization of 314424

314424 = 2 x 2 x 2 x 3 x 3 x 11 x 397

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

LCM = 98860250808 = 2 x 2 x 2 x 3 x 3 x 11 x 229 x 397 x 1373

Step 4: Therefore, the least common multiple of 314417 and 314424 is 98860250808.