LCM for 35 and 100

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What's the Least Common Multiple (LCM) of 35 and 100?

Answer

LCM of 35 and 100 is
700

(Seven hundred)

Finding LCM for 35 and 100 using GCF of these numbers

The first method to find LCM for numbers 35 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 35 and 100 is 5, so

LCM = (35 × 100) ÷ 5

LCM = 3,500 ÷ 5

LCM = 700

Finding LCM for 35 and 100 by Listing Multiples

The second method to find LCM for numbers 35 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770

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

So the LCM for 35 and 100 is 700

Finding LCM for 35 and 100 by Prime Factorization

Another method to find LCM for numbers 35 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 35: 5, 7 (exponent form: 51, 71)

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

52 × 71 × 22 = 700

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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 35 and 100? (The answer is: 700). Select the first number (e.g. '35') and the second number (e.g. '100'). 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
351470
35361,260
35371,295
35381,330
3540280
3542210
35431,505
3545315
35471,645
3549245
3550350
35521,820
35531,855
3555385
3556280
35571,995
35592,065
3560420
3563315
3565455
357070
35722,520
3575525
3577385
3584420
35100700
35105105
351501,050

FAQ

What's the Least Common Multiple (LCM) of 35 and 100?

LCM of 35 and 100 is 700

How to find the LCM of 35 and 100 using prime factorization?

To find the LCM of 35 and 100, 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 35 and 100: LCM = 700, GCF = 5.

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