LCM for 27 and 100

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What's the Least Common Multiple (LCM) of 27 and 100?

Answer

LCM of 27 and 100 is
2,700

(Two thousand seven hundred)

Finding LCM for 27 and 100 using GCF of these numbers

The first method to find LCM for numbers 27 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 100 is 1, so

LCM = (27 × 100) ÷ 1

LCM = 2,700 ÷ 1

LCM = 2,700

Finding LCM for 27 and 100 by Listing Multiples

The second method to find LCM for numbers 27 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1,026, 1,053, 1,080, 1,107, 1,134, 1,161, 1,188, 1,215, 1,242, 1,269, 1,296, 1,323, 1,350, 1,377, 1,404, 1,431, 1,458, 1,485, 1,512, 1,539, 1,566, 1,593, 1,620, 1,647, 1,674, 1,701, 1,728, 1,755, 1,782, 1,809, 1,836, 1,863, 1,890, 1,917, 1,944, 1,971, 1,998, 2,025, 2,052, 2,079, 2,106, 2,133, 2,160, 2,187, 2,214, 2,241, 2,268, 2,295, 2,322, 2,349, 2,376, 2,403, 2,430, 2,457, 2,484, 2,511, 2,538, 2,565, 2,592, 2,619, 2,646, 2,673, 2,700, 2,727, 2,754

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200, 1,300, 1,400, 1,500, 1,600, 1,700, 1,800, 1,900, 2,000, 2,100, 2,200, 2,300, 2,400, 2,500, 2,600, 2,700, 2,800, 2,900

So the LCM for 27 and 100 is 2,700

Finding LCM for 27 and 100 by Prime Factorization

Another method to find LCM for numbers 27 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

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

33 × 22 × 52 = 2,700

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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 27 and 100? (The answer is: 2,700). Select the first number (e.g. '27') 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
271854
2728756
2730270
2732864
2733297
2735945
2736108
2739351
27401,080
2742378
27431,161
27441,188
2745135
27491,323
27501,350
27531,431
275454
2763189
27641,728
2775675
278181
2790270
271002,700
27108108
271253,375

FAQ

What's the Least Common Multiple (LCM) of 27 and 100?

LCM of 27 and 100 is 2,700

How to find the LCM of 27 and 100 using prime factorization?

To find the LCM of 27 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,700.

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 27 and 100: LCM = 2,700, GCF = 1.

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