Least Common Multiple of 311430 and 311435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311430 and 311435 the smallest integer that is 19398040410 that is divisible by both numbers.

Least Common Multiple (LCM) of 311430 and 311435 is 19398040410.

LCM(311430,311435) = 19398040410

LCM of 311430 and 311435

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

LCM of:
and

Least Common Multiple of 311430 and 311435

LCM of 311430 and 311435 is 19398040410

Least common multiple can be found by multiplying the highest exponent prime factors of 311430 and 311435. First we will calculate the prime factors of 311430 and 311435.

Prime Factorization of 311430


2 311430
3 155715
5 51905
7 10381
1483 1483
1

Prime factors of 311430 are 2, 3, 5, 7,1483. Prime factorization of 311430 in exponential form is:

311430 = 21×31×51×71×14831

Prime Factorization of 311435


5 311435
199 62287
313 313
1

Prime factors of 311435 are 5, 199,313. Prime factorization of 311435 in exponential form is:

311435 = 51×1991×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 311430 and 311435.

LCM(311430,311435) = 21×31×51×71×1991×3131×14831
LCM(311430,311435) = 19398040410

Factors of 311430

List of positive integer factors of 311430 that divides 311430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430

Factors of 311435

List of positive integer factors of 311435 that divides 311435 without a remainder.

1, 5, 199, 313, 995, 1565, 62287, 311435

Least Common Multiple of 311430 and 311435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311430 and 311435, than apply into the LCM equation.

GCF(311430,311435) = 5
LCM(311430,311435) = ( 311430 × 311435) / 5
LCM(311430,311435) = 96990202050 / 5
LCM(311430,311435) = 19398040410

Properties of LCM 311430 and 311435

(i) The LCM of 311435 and 311430 is associative

LCM of 311430 and 311435 = LCM of 311435 and 311430

Related Least Common Multiples of 311430

Related Least Common Multiples of 311435

Frequently Asked Questions on LCM of 311430 and 311435

1. What is the LCM of 311430 and 311435?

Answer: LCM of 311430 and 311435 is 19398040410.

2. What are the Factors of 311430?

Answer: Factors of 311430 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430. There are 32 integers that are factors of 311430. The greatest factor of 311430 is 311430.

3. What are the Factors of 311435?

Answer: Factors of 311435 are 1, 5, 199, 313, 995, 1565, 62287, 311435. There are 8 integers that are factors of 311435. The greatest factor of 311435 is 311435.

4. How to Find the LCM of 311430 and 311435?

Answer:

Least Common Multiple of 311430 and 311435 = 19398040410

Step 1: Find the prime factorization of 311430

311430 = 2 x 3 x 5 x 7 x 1483

Step 2: Find the prime factorization of 311435

311435 = 5 x 199 x 313

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

LCM = 19398040410 = 2 x 3 x 5 x 7 x 199 x 313 x 1483

Step 4: Therefore, the least common multiple of 311430 and 311435 is 19398040410.