Least Common Multiple of 1214 and 1220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1214 and 1220 the smallest integer that is 740540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1220 is 740540.

LCM(1214,1220) = 740540

LCM of 1214 and 1220

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

LCM of:
and

Least Common Multiple of 1214 and 1220

LCM of 1214 and 1220 is 740540

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1220. First we will calculate the prime factors of 1214 and 1220.

Prime Factorization of 1214


2 1214
607 607
1

Prime factors of 1214 are 2,607. Prime factorization of 1214 in exponential form is:

1214 = 21×6071

Prime Factorization of 1220


2 1220
2 610
5 305
61 61
1

Prime factors of 1220 are 2, 5,61. Prime factorization of 1220 in exponential form is:

1220 = 22×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1214 and 1220.

LCM(1214,1220) = 22×51×611×6071
LCM(1214,1220) = 740540

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1, 2, 607, 1214

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220

Least Common Multiple of 1214 and 1220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1214 and 1220, than apply into the LCM equation.

GCF(1214,1220) = 2
LCM(1214,1220) = ( 1214 × 1220) / 2
LCM(1214,1220) = 1481080 / 2
LCM(1214,1220) = 740540

Properties of LCM 1214 and 1220

(i) The LCM of 1220 and 1214 is associative

LCM of 1214 and 1220 = LCM of 1220 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1220

Frequently Asked Questions on LCM of 1214 and 1220

1. What is the LCM of 1214 and 1220?

Answer: LCM of 1214 and 1220 is 740540.

2. What are the Factors of 1214?

Answer: Factors of 1214 are 1, 2, 607, 1214. There are 4 integers that are factors of 1214. The greatest factor of 1214 is 1214.

3. What are the Factors of 1220?

Answer: Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220. There are 12 integers that are factors of 1220. The greatest factor of 1220 is 1220.

4. How to Find the LCM of 1214 and 1220?

Answer:

Least Common Multiple of 1214 and 1220 = 740540

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1220

1220 = 2 x 2 x 5 x 61

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

LCM = 740540 = 2 x 2 x 5 x 61 x 607

Step 4: Therefore, the least common multiple of 1214 and 1220 is 740540.