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

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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 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

LCM Table

Number 1Number 2LCM
46391794
4640920
46411886
4642966
46431978
46441012
46452070
464646
46472162
46481104
46492254
46501150
46512346
46521196
46532438
46541242
46552530
46561288
46572622
46581334
46592714
46601380
46612806
46621426
46632898
46641472
46652990
46661518
46673082
46681564

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