Least Common Multiple of 21485 and 21492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21485 and 21492 the smallest integer that is 461755620 that is divisible by both numbers.

Least Common Multiple (LCM) of 21485 and 21492 is 461755620.

LCM(21485,21492) = 461755620

LCM of 21485 and 21492

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

LCM of:
and

Least Common Multiple of 21485 and 21492

LCM of 21485 and 21492 is 461755620

Least common multiple can be found by multiplying the highest exponent prime factors of 21485 and 21492. First we will calculate the prime factors of 21485 and 21492.

Prime Factorization of 21485


5 21485
4297 4297
1

Prime factors of 21485 are 5,4297. Prime factorization of 21485 in exponential form is:

21485 = 51×42971

Prime Factorization of 21492


2 21492
2 10746
3 5373
3 1791
3 597
199 199
1

Prime factors of 21492 are 2, 3,199. Prime factorization of 21492 in exponential form is:

21492 = 22×33×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 21485 and 21492.

LCM(21485,21492) = 22×33×51×1991×42971
LCM(21485,21492) = 461755620

Factors of 21485

List of positive integer factors of 21485 that divides 21485 without a remainder.

1, 5, 4297, 21485

Factors of 21492

List of positive integer factors of 21492 that divides 21492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746, 21492

Least Common Multiple of 21485 and 21492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21485 and 21492, than apply into the LCM equation.

GCF(21485,21492) = 1
LCM(21485,21492) = ( 21485 × 21492) / 1
LCM(21485,21492) = 461755620 / 1
LCM(21485,21492) = 461755620

Properties of LCM 21485 and 21492

(i) The LCM of 21492 and 21485 is associative

LCM of 21485 and 21492 = LCM of 21492 and 21485

Related Least Common Multiples of 21485

Related Least Common Multiples of 21492

Frequently Asked Questions on LCM of 21485 and 21492

1. What is the LCM of 21485 and 21492?

Answer: LCM of 21485 and 21492 is 461755620.

2. What are the Factors of 21485?

Answer: Factors of 21485 are 1, 5, 4297, 21485. There are 4 integers that are factors of 21485. The greatest factor of 21485 is 21485.

3. What are the Factors of 21492?

Answer: Factors of 21492 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746, 21492. There are 24 integers that are factors of 21492. The greatest factor of 21492 is 21492.

4. How to Find the LCM of 21485 and 21492?

Answer:

Least Common Multiple of 21485 and 21492 = 461755620

Step 1: Find the prime factorization of 21485

21485 = 5 x 4297

Step 2: Find the prime factorization of 21492

21492 = 2 x 2 x 3 x 3 x 3 x 199

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

LCM = 461755620 = 2 x 2 x 3 x 3 x 3 x 5 x 199 x 4297

Step 4: Therefore, the least common multiple of 21485 and 21492 is 461755620.