Least Common Multiple of 625 and 630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 625 and 630 the smallest integer that is 78750 that is divisible by both numbers.

Least Common Multiple (LCM) of 625 and 630 is 78750.

LCM(625,630) = 78750

LCM of 625 and 630

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

LCM of:
and

Least Common Multiple of 625 and 630

LCM of 625 and 630 is 78750

Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 630. First we will calculate the prime factors of 625 and 630.

Prime Factorization of 625


5 625
5 125
5 25
5 5
1

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 54

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 630.

LCM(625,630) = 21×32×54×71
LCM(625,630) = 78750

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Least Common Multiple of 625 and 630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 630, than apply into the LCM equation.

GCF(625,630) = 5
LCM(625,630) = ( 625 × 630) / 5
LCM(625,630) = 393750 / 5
LCM(625,630) = 78750

Properties of LCM 625 and 630

(i) The LCM of 630 and 625 is associative

LCM of 625 and 630 = LCM of 630 and 625

Related Least Common Multiples of 625

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 625 and 630

1. What is the LCM of 625 and 630?

Answer: LCM of 625 and 630 is 78750.

2. What are the Factors of 625?

Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.

3. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the LCM of 625 and 630?

Answer:

Least Common Multiple of 625 and 630 = 78750

Step 1: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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

LCM = 78750 = 2 x 3 x 3 x 5 x 5 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 625 and 630 is 78750.