LCM for 625 and 1,000

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What's the Least Common Multiple (LCM) of 625 and 1,000?

Answer

LCM of 625 and 1,000 is
5,000

(Five thousand)

Finding LCM for 625 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 625 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 625 and 1,000 is 125, so

LCM = (625 × 1,000) ÷ 125

LCM = 625,000 ÷ 125

LCM = 5,000

Finding LCM for 625 and 1,000 by Listing Multiples

The second method to find LCM for numbers 625 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 625: 625, 1,250, 1,875, 2,500, 3,125, 3,750, 4,375, 5,000, 5,625, 6,250

Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000

So the LCM for 625 and 1,000 is 5,000

Finding LCM for 625 and 1,000 by Prime Factorization

Another method to find LCM for numbers 625 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 625: 5, 5, 5, 5 (exponent form: 54)

All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

54 × 23 = 5,000

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 625 and 1,000? (The answer is: 5,000). Select the first number (e.g. '625') and the second number (e.g. '1,000'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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LCM Table

Number 1Number 2LCM
625985123,125
625986616,250
625987616,875
625988617,500
625989618,125
625990123,750
625991619,375
625992620,000
625993620,625
625994621,250
625995124,375
625996622,500
625997623,125
625998623,750
625999624,375
6251,0005,000
6251,001625,625
6251,002626,250
6251,003626,875
6251,004627,500
6251,005125,625
6251,006628,750
6251,007629,375
6251,008630,000
6251,009630,625
6251,010126,250
6251,011631,875
6251,012632,500
6251,013633,125
6251,014633,750

FAQ

What's the Least Common Multiple (LCM) of 625 and 1,000?

LCM of 625 and 1,000 is 5,000

How to find the LCM of 625 and 1,000 using prime factorization?

To find the LCM of 625 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,000.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 625 and 1,000: LCM = 5,000, GCF = 125.

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