LCM for 34 and 48

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's 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 nubmers and pick the first which matching:

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

See Also

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

LCM Table

Number 1Number 2LCM
1948912
2048
2148336
2248528
23481104
2448
25481200
2648
2748432
2848336
29481392
3048240
31481488
3248
3348528
3448
35481680
3648
37481776
3848912
3948624
4048240
41481968
4248
43482064
4448528
4548720
46481104
47482256
484848

FAQ

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

LCM of 34 and 48 is 816