Least Common Multiple of 310426 and 310432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310426 and 310432 the smallest integer that is 48183082016 that is divisible by both numbers.

Least Common Multiple (LCM) of 310426 and 310432 is 48183082016.

LCM(310426,310432) = 48183082016

LCM of 310426 and 310432

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

LCM of:
and

Least Common Multiple of 310426 and 310432

LCM of 310426 and 310432 is 48183082016

Least common multiple can be found by multiplying the highest exponent prime factors of 310426 and 310432. First we will calculate the prime factors of 310426 and 310432.

Prime Factorization of 310426


2 310426
269 155213
577 577
1

Prime factors of 310426 are 2, 269,577. Prime factorization of 310426 in exponential form is:

310426 = 21×2691×5771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 310426 and 310432.

LCM(310426,310432) = 25×891×1091×2691×5771
LCM(310426,310432) = 48183082016

Factors of 310426

List of positive integer factors of 310426 that divides 310426 without a remainder.

1, 2, 269, 538, 577, 1154, 155213, 310426

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

Least Common Multiple of 310426 and 310432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310426 and 310432, than apply into the LCM equation.

GCF(310426,310432) = 2
LCM(310426,310432) = ( 310426 × 310432) / 2
LCM(310426,310432) = 96366164032 / 2
LCM(310426,310432) = 48183082016

Properties of LCM 310426 and 310432

(i) The LCM of 310432 and 310426 is associative

LCM of 310426 and 310432 = LCM of 310432 and 310426

Related Least Common Multiples of 310426

Related Least Common Multiples of 310432

Frequently Asked Questions on LCM of 310426 and 310432

1. What is the LCM of 310426 and 310432?

Answer: LCM of 310426 and 310432 is 48183082016.

2. What are the Factors of 310426?

Answer: Factors of 310426 are 1, 2, 269, 538, 577, 1154, 155213, 310426. There are 8 integers that are factors of 310426. The greatest factor of 310426 is 310426.

3. 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.

4. How to Find the LCM of 310426 and 310432?

Answer:

Least Common Multiple of 310426 and 310432 = 48183082016

Step 1: Find the prime factorization of 310426

310426 = 2 x 269 x 577

Step 2: Find the prime factorization of 310432

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

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

LCM = 48183082016 = 2 x 2 x 2 x 2 x 2 x 89 x 109 x 269 x 577

Step 4: Therefore, the least common multiple of 310426 and 310432 is 48183082016.