LCM for 64 and 48

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What's the Least Common Multiple (LCM) of 64 and 48?

Answer

LCM of 64 and 48 is
192

(One hundred ninety-two)

Finding LCM for 64 and 48 using GCF of these numbers

The first method to find LCM for numbers 64 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 64 and 48 is 16, so

LCM = (64 × 48) ÷ 16

LCM = 3,072 ÷ 16

LCM = 192

Finding LCM for 64 and 48 by Listing Multiples

The second method to find LCM for numbers 64 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 64: 64, 128, 192, 256, 320

Multiples of 48: 48, 96, 144, 192, 240, 288

So the LCM for 64 and 48 is 192

Finding LCM for 64 and 48 by Prime Factorization

Another method to find LCM for numbers 64 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

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

26 × 31 = 192

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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 64 and 48? (The answer is: 192). Select the first number (e.g. '64') and the second number (e.g. '48'). 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
64332,112
64341,088
64352,240
6436576
64372,368
64381,216
64392,496
6440320
64412,624
64421,344
64432,752
6444704
64452,880
64461,472
64473,008
6448192
64493,136
64501,600
64513,264
6452832
64533,392
64541,728
64553,520
6456448
64573,648
64581,856
64593,776
6460960
64613,904
64621,984

FAQ

What's the Least Common Multiple (LCM) of 64 and 48?

LCM of 64 and 48 is 192

How to find the LCM of 64 and 48 using prime factorization?

To find the LCM of 64 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 192.

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 64 and 48: LCM = 192, GCF = 16.

See Also