LCM for 33 and 38

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What's the Least Common Multiple (LCM) of 33 and 38?

Answer

LCM of 33 and 38 is
1,254

(One thousand two hundred fifty-four)

Finding LCM for 33 and 38 using GCF of these numbers

The first method to find LCM for numbers 33 and 38 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 33 and 38 is 1, so

LCM = (33 × 38) ÷ 1

LCM = 1,254 ÷ 1

LCM = 1,254

Finding LCM for 33 and 38 by Listing Multiples

The second method to find LCM for numbers 33 and 38 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726, 759, 792, 825, 858, 891, 924, 957, 990, 1023, 1056, 1089, 1122, 1155, 1188, 1221, 1254, 1287, 1320

Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064, 1102, 1140, 1178, 1216, 1254, 1292, 1330

So the LCM for 33 and 38 is 1,254

Finding LCM for 33 and 38 by Prime Factorization

Another method to find LCM for numbers 33 and 38 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 33: 3, 11 (exponent form: 31, 111)

All Prime Factors of 38: 2, 19 (exponent form: 21, 191)

31 × 111 × 21 × 191 = 1,254

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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 33 and 38? (The answer is: 1,254). Select the first number (e.g. '33') and the second number (e.g. '38'). 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
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LCM Table

Number 1Number 2LCM
33341,122
33351,155
33381,254
3339429
33401,320
33411,353
3342462
33431,419
3344132
33461,518
33501,650
33521,716
3355165
3377231
33121363

FAQ

What's the Least Common Multiple (LCM) of 33 and 38?

LCM of 33 and 38 is 1,254

How to find the LCM of 33 and 38 using prime factorization?

To find the LCM of 33 and 38, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,254.

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 33 and 38: LCM = 1,254, GCF = 1.

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