Least Common Multiple of 15214 and 15220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15214 and 15220 the smallest integer that is 115778540 that is divisible by both numbers.

Least Common Multiple (LCM) of 15214 and 15220 is 115778540.

LCM(15214,15220) = 115778540

LCM of 15214 and 15220

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

LCM of:
and

Least Common Multiple of 15214 and 15220

LCM of 15214 and 15220 is 115778540

Least common multiple can be found by multiplying the highest exponent prime factors of 15214 and 15220. First we will calculate the prime factors of 15214 and 15220.

Prime Factorization of 15214


2 15214
7607 7607
1

Prime factors of 15214 are 2,7607. Prime factorization of 15214 in exponential form is:

15214 = 21×76071

Prime Factorization of 15220


2 15220
2 7610
5 3805
761 761
1

Prime factors of 15220 are 2, 5,761. Prime factorization of 15220 in exponential form is:

15220 = 22×51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 15214 and 15220.

LCM(15214,15220) = 22×51×7611×76071
LCM(15214,15220) = 115778540

Factors of 15214

List of positive integer factors of 15214 that divides 15214 without a remainder.

1, 2, 7607, 15214

Factors of 15220

List of positive integer factors of 15220 that divides 15220 without a remainder.

1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220

Least Common Multiple of 15214 and 15220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15214 and 15220, than apply into the LCM equation.

GCF(15214,15220) = 2
LCM(15214,15220) = ( 15214 × 15220) / 2
LCM(15214,15220) = 231557080 / 2
LCM(15214,15220) = 115778540

Properties of LCM 15214 and 15220

(i) The LCM of 15220 and 15214 is associative

LCM of 15214 and 15220 = LCM of 15220 and 15214

Related Least Common Multiples of 15214

Related Least Common Multiples of 15220

Frequently Asked Questions on LCM of 15214 and 15220

1. What is the LCM of 15214 and 15220?

Answer: LCM of 15214 and 15220 is 115778540.

2. What are the Factors of 15214?

Answer: Factors of 15214 are 1, 2, 7607, 15214. There are 4 integers that are factors of 15214. The greatest factor of 15214 is 15214.

3. What are the Factors of 15220?

Answer: Factors of 15220 are 1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220. There are 12 integers that are factors of 15220. The greatest factor of 15220 is 15220.

4. How to Find the LCM of 15214 and 15220?

Answer:

Least Common Multiple of 15214 and 15220 = 115778540

Step 1: Find the prime factorization of 15214

15214 = 2 x 7607

Step 2: Find the prime factorization of 15220

15220 = 2 x 2 x 5 x 761

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

LCM = 115778540 = 2 x 2 x 5 x 761 x 7607

Step 4: Therefore, the least common multiple of 15214 and 15220 is 115778540.