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LCM for 46 and 54

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 46 and 54?

Answer

LCM of 46 and 54 is 1,242

(One thousand, two hundred forty-two)

Finding LCM for 46 and 54 using GCF of these numbers

The first method to find LCM for numbers 46 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 46 and 54 is 2, so

LCM = (46 × 54) ÷ 2

LCM = 2484 ÷ 2

LCM = 1242

Finding LCM for 46 and 54 by Listing Multiples

The second method to find LCM for numbers 46 and 54 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334

Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350

So the LCM for 46 and 54 is 1242

Finding LCM for 46 and 54 by Prime Factorization

Another method to find LCM for numbers 46 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

21 × 231 × 33 = 1242

Related Calculations

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What is the LCM of 46 and 54?. Find the LCM of 46 and 54 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
31541674
3254864
3354594
3454918
35541890
3654108
37541998
38541026
3954702
40541080
41542214
4254378
43542322
44541188
4554270
46541242
47542538
4854432
49542646
50541350
5154918
52541404
53542862
545454
55542970
56541512
57541026
58541566
59543186
6054540

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 46 and 54? (The answer is: 1242). Select the first number (e.g. '46') and the second number (e.g. '54'). 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 46 and 54?

LCM of 46 and 54 is 1,242

How to find the LCM of 46 and 54 using prime factorization?

To find the LCM of 46 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,242.

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 46 and 54: LCM = 1,242, GCF = 2.

See Also