LCM for 875 and 1,000

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What's the Least Common Multiple (LCM) of 875 and 1,000?

Answer

LCM of 875 and 1,000 is
7,000

(Seven thousand)

Finding LCM for 875 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 875 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 875 and 1,000 is 125, so

LCM = (875 × 1,000) ÷ 125

LCM = 875,000 ÷ 125

LCM = 7,000

Finding LCM for 875 and 1,000 by Listing Multiples

The second method to find LCM for numbers 875 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 875: 875, 1,750, 2,625, 3,500, 4,375, 5,250, 6,125, 7,000, 7,875, 8,750

Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000

So the LCM for 875 and 1,000 is 7,000

Finding LCM for 875 and 1,000 by Prime Factorization

Another method to find LCM for numbers 875 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 875: 5, 5, 5, 7 (exponent form: 53, 71)

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

53 × 71 × 23 = 7,000

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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 875 and 1,000? (The answer is: 7,000). Select the first number (e.g. '875') 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
875985172,375
875986862,750
875987123,375
875988864,500
875989865,375
875990173,250
875991867,125
875992868,000
875993868,875
875994124,250
875995174,125
875996871,500
875997872,375
875998873,250
875999874,125
8751,0007,000
8751,001125,125
8751,002876,750
8751,003877,625
8751,004878,500
8751,005175,875
8751,006880,250
8751,007881,125
8751,008126,000
8751,009882,875
8751,010176,750
8751,011884,625
8751,012885,500
8751,013886,375
8751,014887,250

FAQ

What's the Least Common Multiple (LCM) of 875 and 1,000?

LCM of 875 and 1,000 is 7,000

How to find the LCM of 875 and 1,000 using prime factorization?

To find the LCM of 875 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,000.

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 875 and 1,000: LCM = 7,000, GCF = 125.

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