Least Common Multiple of 626 and 632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 626 and 632 the smallest integer that is 197816 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 632 is 197816.

LCM(626,632) = 197816

LCM of 626 and 632

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

LCM of:
and

Least Common Multiple of 626 and 632

LCM of 626 and 632 is 197816

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 632. First we will calculate the prime factors of 626 and 632.

Prime Factorization of 626


2 626
313 313
1

Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:

626 = 21×3131

Prime Factorization of 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 632.

LCM(626,632) = 23×791×3131
LCM(626,632) = 197816

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Least Common Multiple of 626 and 632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 626 and 632, than apply into the LCM equation.

GCF(626,632) = 2
LCM(626,632) = ( 626 × 632) / 2
LCM(626,632) = 395632 / 2
LCM(626,632) = 197816

Properties of LCM 626 and 632

(i) The LCM of 632 and 626 is associative

LCM of 626 and 632 = LCM of 632 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 632

Frequently Asked Questions on LCM of 626 and 632

1. What is the LCM of 626 and 632?

Answer: LCM of 626 and 632 is 197816.

2. What are the Factors of 626?

Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.

3. What are the Factors of 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

4. How to Find the LCM of 626 and 632?

Answer:

Least Common Multiple of 626 and 632 = 197816

Step 1: Find the prime factorization of 626

626 = 2 x 313

Step 2: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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

LCM = 197816 = 2 x 2 x 2 x 79 x 313

Step 4: Therefore, the least common multiple of 626 and 632 is 197816.