LCM for 100 and 175

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What's the Least Common Multiple (LCM) of 100 and 175?

Answer

LCM of 100 and 175 is
700

(Seven hundred)

Finding LCM for 100 and 175 using GCF of these numbers

The first method to find LCM for numbers 100 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 175 is 25, so

LCM = (100 × 175) ÷ 25

LCM = 17,500 ÷ 25

LCM = 700

Finding LCM for 100 and 175 by Listing Multiples

The second method to find LCM for numbers 100 and 175 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900

Multiples of 175: 175, 350, 525, 700, 875, 1,050

So the LCM for 100 and 175 is 700

Finding LCM for 100 and 175 by Prime Factorization

Another method to find LCM for numbers 100 and 175 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)

22 × 52 × 71 = 700

See Also

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 100 and 175? (The answer is: 700). Select the first number (e.g. '100') and the second number (e.g. '175'). 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
100100100
1001052,100
1001152,300
100120600
10012112,100
100125500
1001301,300
1001352,700
1001443,600
100150300
1001553,100
100160800
1001653,300
100175700
100180900
1001901,900
100200200
1002154,300
1002201,100
100225900
1002302,300
1002354,700
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900

FAQ

What's the Least Common Multiple (LCM) of 100 and 175?

LCM of 100 and 175 is 700

How to find the LCM of 100 and 175 using prime factorization?

To find the LCM of 100 and 175, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 700.

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 100 and 175: LCM = 700, GCF = 25.

See Also