LCM for 54 and 204

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 204?

Answer: LCM of 54 and 204 is 1,836

(One thousand, eight hundred thirty-six)

Finding LCM for 54 and 204 using GCF's of these numbers

The first method to find LCM for numbers 54 and 204 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 204 is 6, so

LCM = (54 × 204) ÷ 6

LCM = 11016 ÷ 6

LCM = 1836

Finding LCM for 54 and 204 by Listing Multiples

The second method to find LCM for numbers 54 and 204 is to list out the common multiples for both nubmers and pick the first which matching:

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, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890, 1944

Multiples of 204: 204, 408, 612, 816, 1020, 1224, 1428, 1632, 1836, 2040, 2244

So the LCM for 54 and 204 is 1836

Finding LCM for 54 and 204 by Prime Factorization

Another method to find LCM for numbers 54 and 204 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)

22 × 33 × 171 = 1836

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LCM Table

Number 1Number 2LCM
392042652
402042040
412048364
422041428
432048772
442042244
452043060
462044692
472049588
48204816
492049996
502045100
51204204
522042652
5320410812
542041836
5520411220
562042856
572043876
582045916
5920412036
602041020
6120412444
622046324
632044284
642043264
6520413260
662042244
6720413668
68204204

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 54 and 204? (The answer is: 1836). Select the first number (e.g. '54') and the second number (e.g. '204'). 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

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FAQ

What's the Least Common Multiple (LCM) of 54 and 204?

LCM of 54 and 204 is 1,836