LCM for 34 and 48

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What's the Least Common Multiple (LCM) of 34 and 48?

Answer

LCM of 34 and 48 is
816

(Eight hundred sixteen)

Finding LCM for 34 and 48 using GCF of these numbers

The first method to find LCM for numbers 34 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 34 and 48 is 2, so

LCM = (34 × 48) ÷ 2

LCM = 1,632 ÷ 2

LCM = 816

Finding LCM for 34 and 48 by Listing Multiples

The second method to find LCM for numbers 34 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912

So the LCM for 34 and 48 is 816

Finding LCM for 34 and 48 by Prime Factorization

Another method to find LCM for numbers 34 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 34: 2, 17 (exponent form: 21, 171)

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

24 × 171 × 31 = 816

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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 34 and 48? (The answer is: 816). Select the first number (e.g. '34') 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
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LCM Table

Number 1Number 2LCM
34331,122
343434
34351,190
3436612
34371,258
3438646
34391,326
3440680
34411,394
3442714
34431,462
3444748
34451,530
3446782
34471,598
3448816
34491,666
3450850
3451102
3452884
34531,802
3454918
34551,870
3456952
34571,938
3458986
34592,006
34601,020
34612,074
34621,054

FAQ

What's the Least Common Multiple (LCM) of 34 and 48?

LCM of 34 and 48 is 816

How to find the LCM of 34 and 48 using prime factorization?

To find the LCM of 34 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 816.

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 34 and 48: LCM = 816, GCF = 2.

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