LCM for 48 and 75

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What's the Least Common Multiple (LCM) of 48 and 75?

Answer

LCM of 48 and 75 is
1,200

(One thousand two hundred)

Finding LCM for 48 and 75 using GCF of these numbers

The first method to find LCM for numbers 48 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 75 is 3, so

LCM = (48 × 75) ÷ 3

LCM = 3,600 ÷ 3

LCM = 1,200

Finding LCM for 48 and 75 by Listing Multiples

The second method to find LCM for numbers 48 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1,008, 1,056, 1,104, 1,152, 1,200, 1,248, 1,296

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1,050, 1,125, 1,200, 1,275, 1,350

So the LCM for 48 and 75 is 1,200

Finding LCM for 48 and 75 by Prime Factorization

Another method to find LCM for numbers 48 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

24 × 31 × 52 = 1,200

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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 48 and 75? (The answer is: 1,200). Select the first number (e.g. '48') 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
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LCM Table

Number 1Number 2LCM
481248
483296
4836144
48501,200
4852624
4854432
4856336
4857912
48581,392
4860240
4872144
48751,200
4880240
48811,296
4884336
4890720
489696
48991,584
481001,200
48120240
48128384

FAQ

What's the Least Common Multiple (LCM) of 48 and 75?

LCM of 48 and 75 is 1,200

How to find the LCM of 48 and 75 using prime factorization?

To find the LCM of 48 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 48 and 75: LCM = 1,200, GCF = 3.

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