Least Common Multiple of 308424 and 308429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308424 and 308429 the smallest integer that is 95126905896 that is divisible by both numbers.

Least Common Multiple (LCM) of 308424 and 308429 is 95126905896.

LCM(308424,308429) = 95126905896

LCM of 308424 and 308429

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

LCM of:
and

Least Common Multiple of 308424 and 308429

LCM of 308424 and 308429 is 95126905896

Least common multiple can be found by multiplying the highest exponent prime factors of 308424 and 308429. First we will calculate the prime factors of 308424 and 308429.

Prime Factorization of 308424


2 308424
2 154212
2 77106
3 38553
71 12851
181 181
1

Prime factors of 308424 are 2, 3, 71,181. Prime factorization of 308424 in exponential form is:

308424 = 23×31×711×1811

Prime Factorization of 308429


11 308429
11 28039
2549 2549
1

Prime factors of 308429 are 11,2549. Prime factorization of 308429 in exponential form is:

308429 = 112×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 308424 and 308429.

LCM(308424,308429) = 23×31×112×711×1811×25491
LCM(308424,308429) = 95126905896

Factors of 308424

List of positive integer factors of 308424 that divides 308424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 181, 213, 284, 362, 426, 543, 568, 724, 852, 1086, 1448, 1704, 2172, 4344, 12851, 25702, 38553, 51404, 77106, 102808, 154212, 308424

Factors of 308429

List of positive integer factors of 308429 that divides 308429 without a remainder.

1, 11, 121, 2549, 28039, 308429

Least Common Multiple of 308424 and 308429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308424 and 308429, than apply into the LCM equation.

GCF(308424,308429) = 1
LCM(308424,308429) = ( 308424 × 308429) / 1
LCM(308424,308429) = 95126905896 / 1
LCM(308424,308429) = 95126905896

Properties of LCM 308424 and 308429

(i) The LCM of 308429 and 308424 is associative

LCM of 308424 and 308429 = LCM of 308429 and 308424

Related Least Common Multiples of 308424

Related Least Common Multiples of 308429

Frequently Asked Questions on LCM of 308424 and 308429

1. What is the LCM of 308424 and 308429?

Answer: LCM of 308424 and 308429 is 95126905896.

2. What are the Factors of 308424?

Answer: Factors of 308424 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 181, 213, 284, 362, 426, 543, 568, 724, 852, 1086, 1448, 1704, 2172, 4344, 12851, 25702, 38553, 51404, 77106, 102808, 154212, 308424. There are 32 integers that are factors of 308424. The greatest factor of 308424 is 308424.

3. What are the Factors of 308429?

Answer: Factors of 308429 are 1, 11, 121, 2549, 28039, 308429. There are 6 integers that are factors of 308429. The greatest factor of 308429 is 308429.

4. How to Find the LCM of 308424 and 308429?

Answer:

Least Common Multiple of 308424 and 308429 = 95126905896

Step 1: Find the prime factorization of 308424

308424 = 2 x 2 x 2 x 3 x 71 x 181

Step 2: Find the prime factorization of 308429

308429 = 11 x 11 x 2549

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

LCM = 95126905896 = 2 x 2 x 2 x 3 x 11 x 11 x 71 x 181 x 2549

Step 4: Therefore, the least common multiple of 308424 and 308429 is 95126905896.