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LCM for 27 and 75

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 27 and 75?

Answer

LCM of 27 and 75 is 675

(Six hundred seventy-five)

Finding LCM for 27 and 75 using GCF of these numbers

The first method to find LCM for numbers 27 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 75 is 3, so

LCM = (27 × 75) ÷ 3

LCM = 2025 ÷ 3

LCM = 675

Finding LCM for 27 and 75 by Listing Multiples

The second method to find LCM for numbers 27 and 75 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

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825

So the LCM for 27 and 75 is 675

Finding LCM for 27 and 75 by Prime Factorization

Another method to find LCM for numbers 27 and 75 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 75: 3, 5, 5 (exponent form: 31, 52)

33 × 52 = 675

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What is the LCM of 27 and 75?. The LCM of 27 and 75 is 675 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
271854
2728756
2730270
2732864
2733297
2735945
2736108
2739351
27401080
2742378
27431161
27441188
2745135
27491323
27501350
27531431
275454
27641728
2775675
271253375

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 75? (The answer is: 675). Select the first number (e.g. '27') and the second number (e.g. '75'). 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 27 and 75?

LCM of 27 and 75 is 675

How to find the LCM of 27 and 75 using prime factorization?

To find the LCM of 27 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 675.

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 75: LCM = 675, GCF = 3.

See Also