Least Common Multiple of 10459 and 10464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10459 and 10464 the smallest integer that is 109442976 that is divisible by both numbers.

Least Common Multiple (LCM) of 10459 and 10464 is 109442976.

LCM(10459,10464) = 109442976

LCM of 10459 and 10464

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

LCM of:
and

Least Common Multiple of 10459 and 10464

LCM of 10459 and 10464 is 109442976

Least common multiple can be found by multiplying the highest exponent prime factors of 10459 and 10464. First we will calculate the prime factors of 10459 and 10464.

Prime Factorization of 10459


10459 10459
1

Prime factors of 10459 are 10459. Prime factorization of 10459 in exponential form is:

10459 = 104591

Prime Factorization of 10464


2 10464
2 5232
2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 10464 are 2, 3,109. Prime factorization of 10464 in exponential form is:

10464 = 25×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10459 and 10464.

LCM(10459,10464) = 25×31×1091×104591
LCM(10459,10464) = 109442976

Factors of 10459

List of positive integer factors of 10459 that divides 10459 without a remainder.

1, 10459

Factors of 10464

List of positive integer factors of 10464 that divides 10464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 10464

Least Common Multiple of 10459 and 10464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10459 and 10464, than apply into the LCM equation.

GCF(10459,10464) = 1
LCM(10459,10464) = ( 10459 × 10464) / 1
LCM(10459,10464) = 109442976 / 1
LCM(10459,10464) = 109442976

Properties of LCM 10459 and 10464

(i) The LCM of 10464 and 10459 is associative

LCM of 10459 and 10464 = LCM of 10464 and 10459

Related Least Common Multiples of 10459

Related Least Common Multiples of 10464

Frequently Asked Questions on LCM of 10459 and 10464

1. What is the LCM of 10459 and 10464?

Answer: LCM of 10459 and 10464 is 109442976.

2. What are the Factors of 10459?

Answer: Factors of 10459 are 1, 10459. There are 2 integers that are factors of 10459. The greatest factor of 10459 is 10459.

3. What are the Factors of 10464?

Answer: Factors of 10464 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 10464. There are 24 integers that are factors of 10464. The greatest factor of 10464 is 10464.

4. How to Find the LCM of 10459 and 10464?

Answer:

Least Common Multiple of 10459 and 10464 = 109442976

Step 1: Find the prime factorization of 10459

10459 = 10459

Step 2: Find the prime factorization of 10464

10464 = 2 x 2 x 2 x 2 x 2 x 3 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 = 109442976 = 2 x 2 x 2 x 2 x 2 x 3 x 109 x 10459

Step 4: Therefore, the least common multiple of 10459 and 10464 is 109442976.