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LCM for 34 and 48

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 1632 ÷ 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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What is the LCM of 34 and 48?. The LCM of 34 and 48 is 816 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
34331122
343434
34351190
3436612
34371258
3438646
34391326
3440680
34411394
3442714
34431462
3444748
34451530
3446782
34471598
3448816
34491666
3450850
3451102
3452884
34531802
3454918
34551870
3456952
34571938
3458986
34592006
34601020
34612074
34621054

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

"Least Common Multiple" Calculator

Least Common Multiple of

and

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.

See Also