Least Common Multiple of 642 and 647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 642 and 647 the smallest integer that is 415374 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 647 is 415374.

LCM(642,647) = 415374

LCM of 642 and 647

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

LCM of:
and

Least Common Multiple of 642 and 647

LCM of 642 and 647 is 415374

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 647. First we will calculate the prime factors of 642 and 647.

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

Prime Factorization of 647


647 647
1

Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:

647 = 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 647.

LCM(642,647) = 21×31×1071×6471
LCM(642,647) = 415374

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1, 647

Least Common Multiple of 642 and 647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 642 and 647, than apply into the LCM equation.

GCF(642,647) = 1
LCM(642,647) = ( 642 × 647) / 1
LCM(642,647) = 415374 / 1
LCM(642,647) = 415374

Properties of LCM 642 and 647

(i) The LCM of 647 and 642 is associative

LCM of 642 and 647 = LCM of 647 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 647

Frequently Asked Questions on LCM of 642 and 647

1. What is the LCM of 642 and 647?

Answer: LCM of 642 and 647 is 415374.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

3. What are the Factors of 647?

Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.

4. How to Find the LCM of 642 and 647?

Answer:

Least Common Multiple of 642 and 647 = 415374

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

Step 2: Find the prime factorization of 647

647 = 647

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

LCM = 415374 = 2 x 3 x 107 x 647

Step 4: Therefore, the least common multiple of 642 and 647 is 415374.