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LCM for 100 and 425

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 425?

Answer

LCM of 100 and 425 is 1,700

(One thousand, seven hundred)

Finding LCM for 100 and 425 using GCF of these numbers

The first method to find LCM for numbers 100 and 425 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 425 is 25, so

LCM = (100 × 425) ÷ 25

LCM = 42500 ÷ 25

LCM = 1700

Finding LCM for 100 and 425 by Listing Multiples

The second method to find LCM for numbers 100 and 425 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, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900

Multiples of 425: 425, 850, 1275, 1700, 2125, 2550

So the LCM for 100 and 425 is 1700

Finding LCM for 100 and 425 by Prime Factorization

Another method to find LCM for numbers 100 and 425 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 425: 5, 5, 17 (exponent form: 52, 171)

22 × 52 × 171 = 1700

Related Calculations

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What is the LCM of 100 and 425?. Find the LCM of 100 and 425 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
85425425
8642536550
8742536975
8842537400
8942537825
904257650
9142538675
9242539100
9342539525
9442539950
954258075
9642540800
9742541225
9842541650
9942542075
1004251700
10142542925
1024252550
10342543775
10442544200
1054258925
10642545050
10742545475
10842545900
10942546325
1104259350
11142547175
11242547600
11342548025
11442548450

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 425? (The answer is: 1700). Select the first number (e.g. '100') and the second number (e.g. '425'). 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

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 100 and 425?

LCM of 100 and 425 is 1,700

How to find the LCM of 100 and 425 using prime factorization?

To find the LCM of 100 and 425, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,700.

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 425: LCM = 1,700, GCF = 25.

See Also