Least Common Multiple of 310432 and 310439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310432 and 310439 the smallest integer that is 96370199648 that is divisible by both numbers.

Least Common Multiple (LCM) of 310432 and 310439 is 96370199648.

LCM(310432,310439) = 96370199648

LCM of 310432 and 310439

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

LCM of:
and

Least Common Multiple of 310432 and 310439

LCM of 310432 and 310439 is 96370199648

Least common multiple can be found by multiplying the highest exponent prime factors of 310432 and 310439. First we will calculate the prime factors of 310432 and 310439.

Prime Factorization of 310432


2 310432
2 155216
2 77608
2 38804
2 19402
89 9701
109 109
1

Prime factors of 310432 are 2, 89,109. Prime factorization of 310432 in exponential form is:

310432 = 25×891×1091

Prime Factorization of 310439


310439 310439
1

Prime factors of 310439 are 310439. Prime factorization of 310439 in exponential form is:

310439 = 3104391

Now multiplying the highest exponent prime factors to calculate the LCM of 310432 and 310439.

LCM(310432,310439) = 25×891×1091×3104391
LCM(310432,310439) = 96370199648

Factors of 310432

List of positive integer factors of 310432 that divides 310432 without a remainder.

1, 2, 4, 8, 16, 32, 89, 109, 178, 218, 356, 436, 712, 872, 1424, 1744, 2848, 3488, 9701, 19402, 38804, 77608, 155216, 310432

Factors of 310439

List of positive integer factors of 310439 that divides 310439 without a remainder.

1, 310439

Least Common Multiple of 310432 and 310439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310432 and 310439, than apply into the LCM equation.

GCF(310432,310439) = 1
LCM(310432,310439) = ( 310432 × 310439) / 1
LCM(310432,310439) = 96370199648 / 1
LCM(310432,310439) = 96370199648

Properties of LCM 310432 and 310439

(i) The LCM of 310439 and 310432 is associative

LCM of 310432 and 310439 = LCM of 310439 and 310432

Related Least Common Multiples of 310432

Related Least Common Multiples of 310439

Frequently Asked Questions on LCM of 310432 and 310439

1. What is the LCM of 310432 and 310439?

Answer: LCM of 310432 and 310439 is 96370199648.

2. What are the Factors of 310432?

Answer: Factors of 310432 are 1, 2, 4, 8, 16, 32, 89, 109, 178, 218, 356, 436, 712, 872, 1424, 1744, 2848, 3488, 9701, 19402, 38804, 77608, 155216, 310432. There are 24 integers that are factors of 310432. The greatest factor of 310432 is 310432.

3. What are the Factors of 310439?

Answer: Factors of 310439 are 1, 310439. There are 2 integers that are factors of 310439. The greatest factor of 310439 is 310439.

4. How to Find the LCM of 310432 and 310439?

Answer:

Least Common Multiple of 310432 and 310439 = 96370199648

Step 1: Find the prime factorization of 310432

310432 = 2 x 2 x 2 x 2 x 2 x 89 x 109

Step 2: Find the prime factorization of 310439

310439 = 310439

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

LCM = 96370199648 = 2 x 2 x 2 x 2 x 2 x 89 x 109 x 310439

Step 4: Therefore, the least common multiple of 310432 and 310439 is 96370199648.