Least Common Multiple of 19413 and 19420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 19413 and 19420 the smallest integer that is 377000460 that is divisible by both numbers.

Least Common Multiple (LCM) of 19413 and 19420 is 377000460.

LCM(19413,19420) = 377000460

LCM of 19413 and 19420

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

LCM of:
and

Least Common Multiple of 19413 and 19420

LCM of 19413 and 19420 is 377000460

Least common multiple can be found by multiplying the highest exponent prime factors of 19413 and 19420. First we will calculate the prime factors of 19413 and 19420.

Prime Factorization of 19413


3 19413
3 6471
3 2157
719 719
1

Prime factors of 19413 are 3,719. Prime factorization of 19413 in exponential form is:

19413 = 33×7191

Prime Factorization of 19420


2 19420
2 9710
5 4855
971 971
1

Prime factors of 19420 are 2, 5,971. Prime factorization of 19420 in exponential form is:

19420 = 22×51×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 19413 and 19420.

LCM(19413,19420) = 22×33×51×7191×9711
LCM(19413,19420) = 377000460

Factors of 19413

List of positive integer factors of 19413 that divides 19413 without a remainder.

1, 3, 9, 27, 719, 2157, 6471, 19413

Factors of 19420

List of positive integer factors of 19420 that divides 19420 without a remainder.

1, 2, 4, 5, 10, 20, 971, 1942, 3884, 4855, 9710, 19420

Least Common Multiple of 19413 and 19420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19413 and 19420, than apply into the LCM equation.

GCF(19413,19420) = 1
LCM(19413,19420) = ( 19413 × 19420) / 1
LCM(19413,19420) = 377000460 / 1
LCM(19413,19420) = 377000460

Properties of LCM 19413 and 19420

(i) The LCM of 19420 and 19413 is associative

LCM of 19413 and 19420 = LCM of 19420 and 19413

Related Least Common Multiples of 19413

Related Least Common Multiples of 19420

Frequently Asked Questions on LCM of 19413 and 19420

1. What is the LCM of 19413 and 19420?

Answer: LCM of 19413 and 19420 is 377000460.

2. What are the Factors of 19413?

Answer: Factors of 19413 are 1, 3, 9, 27, 719, 2157, 6471, 19413. There are 8 integers that are factors of 19413. The greatest factor of 19413 is 19413.

3. What are the Factors of 19420?

Answer: Factors of 19420 are 1, 2, 4, 5, 10, 20, 971, 1942, 3884, 4855, 9710, 19420. There are 12 integers that are factors of 19420. The greatest factor of 19420 is 19420.

4. How to Find the LCM of 19413 and 19420?

Answer:

Least Common Multiple of 19413 and 19420 = 377000460

Step 1: Find the prime factorization of 19413

19413 = 3 x 3 x 3 x 719

Step 2: Find the prime factorization of 19420

19420 = 2 x 2 x 5 x 971

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

LCM = 377000460 = 2 x 2 x 3 x 3 x 3 x 5 x 719 x 971

Step 4: Therefore, the least common multiple of 19413 and 19420 is 377000460.