Least Common Multiple of 1663 and 1670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1663 and 1670 the smallest integer that is 2777210 that is divisible by both numbers.

Least Common Multiple (LCM) of 1663 and 1670 is 2777210.

LCM(1663,1670) = 2777210

LCM of 1663 and 1670

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

LCM of:
and

Least Common Multiple of 1663 and 1670

LCM of 1663 and 1670 is 2777210

Least common multiple can be found by multiplying the highest exponent prime factors of 1663 and 1670. First we will calculate the prime factors of 1663 and 1670.

Prime Factorization of 1663


1663 1663
1

Prime factors of 1663 are 1663. Prime factorization of 1663 in exponential form is:

1663 = 16631

Prime Factorization of 1670


2 1670
5 835
167 167
1

Prime factors of 1670 are 2, 5,167. Prime factorization of 1670 in exponential form is:

1670 = 21×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1663 and 1670.

LCM(1663,1670) = 21×51×1671×16631
LCM(1663,1670) = 2777210

Factors of 1663

List of positive integer factors of 1663 that divides 1663 without a remainder.

1, 1663

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1, 2, 5, 10, 167, 334, 835, 1670

Least Common Multiple of 1663 and 1670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1663 and 1670, than apply into the LCM equation.

GCF(1663,1670) = 1
LCM(1663,1670) = ( 1663 × 1670) / 1
LCM(1663,1670) = 2777210 / 1
LCM(1663,1670) = 2777210

Properties of LCM 1663 and 1670

(i) The LCM of 1670 and 1663 is associative

LCM of 1663 and 1670 = LCM of 1670 and 1663

Related Least Common Multiples of 1663

Related Least Common Multiples of 1670

Frequently Asked Questions on LCM of 1663 and 1670

1. What is the LCM of 1663 and 1670?

Answer: LCM of 1663 and 1670 is 2777210.

2. What are the Factors of 1663?

Answer: Factors of 1663 are 1, 1663. There are 2 integers that are factors of 1663. The greatest factor of 1663 is 1663.

3. What are the Factors of 1670?

Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.

4. How to Find the LCM of 1663 and 1670?

Answer:

Least Common Multiple of 1663 and 1670 = 2777210

Step 1: Find the prime factorization of 1663

1663 = 1663

Step 2: Find the prime factorization of 1670

1670 = 2 x 5 x 167

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

LCM = 2777210 = 2 x 5 x 167 x 1663

Step 4: Therefore, the least common multiple of 1663 and 1670 is 2777210.