Least Common Multiple of 10427 and 10435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10427 and 10435 the smallest integer that is 108805745 that is divisible by both numbers.

Least Common Multiple (LCM) of 10427 and 10435 is 108805745.

LCM(10427,10435) = 108805745

LCM of 10427 and 10435

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

LCM of:
and

Least Common Multiple of 10427 and 10435

LCM of 10427 and 10435 is 108805745

Least common multiple can be found by multiplying the highest exponent prime factors of 10427 and 10435. First we will calculate the prime factors of 10427 and 10435.

Prime Factorization of 10427


10427 10427
1

Prime factors of 10427 are 10427. Prime factorization of 10427 in exponential form is:

10427 = 104271

Prime Factorization of 10435


5 10435
2087 2087
1

Prime factors of 10435 are 5,2087. Prime factorization of 10435 in exponential form is:

10435 = 51×20871

Now multiplying the highest exponent prime factors to calculate the LCM of 10427 and 10435.

LCM(10427,10435) = 51×20871×104271
LCM(10427,10435) = 108805745

Factors of 10427

List of positive integer factors of 10427 that divides 10427 without a remainder.

1, 10427

Factors of 10435

List of positive integer factors of 10435 that divides 10435 without a remainder.

1, 5, 2087, 10435

Least Common Multiple of 10427 and 10435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10427 and 10435, than apply into the LCM equation.

GCF(10427,10435) = 1
LCM(10427,10435) = ( 10427 × 10435) / 1
LCM(10427,10435) = 108805745 / 1
LCM(10427,10435) = 108805745

Properties of LCM 10427 and 10435

(i) The LCM of 10435 and 10427 is associative

LCM of 10427 and 10435 = LCM of 10435 and 10427

Related Least Common Multiples of 10427

Related Least Common Multiples of 10435

Frequently Asked Questions on LCM of 10427 and 10435

1. What is the LCM of 10427 and 10435?

Answer: LCM of 10427 and 10435 is 108805745.

2. What are the Factors of 10427?

Answer: Factors of 10427 are 1, 10427. There are 2 integers that are factors of 10427. The greatest factor of 10427 is 10427.

3. What are the Factors of 10435?

Answer: Factors of 10435 are 1, 5, 2087, 10435. There are 4 integers that are factors of 10435. The greatest factor of 10435 is 10435.

4. How to Find the LCM of 10427 and 10435?

Answer:

Least Common Multiple of 10427 and 10435 = 108805745

Step 1: Find the prime factorization of 10427

10427 = 10427

Step 2: Find the prime factorization of 10435

10435 = 5 x 2087

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

LCM = 108805745 = 5 x 2087 x 10427

Step 4: Therefore, the least common multiple of 10427 and 10435 is 108805745.