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LCM for 33 and 34

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 33 and 34?

Answer

LCM of 33 and 34 is 1,122

(One thousand, one hundred twenty-two)

Finding LCM for 33 and 34 using GCF of these numbers

The first method to find LCM for numbers 33 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 33 and 34 is 1, so

LCM = (33 × 34) ÷ 1

LCM = 1122 ÷ 1

LCM = 1122

Finding LCM for 33 and 34 by Listing Multiples

The second method to find LCM for numbers 33 and 34 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

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, 918, 952, 986, 1020, 1054, 1088, 1122, 1156, 1190

So the LCM for 33 and 34 is 1122

Finding LCM for 33 and 34 by Prime Factorization

Another method to find LCM for numbers 33 and 34 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 34: 2, 17 (exponent form: 21, 171)

31 × 111 × 21 × 171 = 1122

Related Calculations

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What is the LCM of 33 and 34?. The LCM of 33 and 34 is 1122 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
3319627
3320660
3321231
332266
3323759
3324264
3325825
3326858
3327297
3328924
3329957
3330330
33311023
33321056
333333
33341122
33351155
3336396
33371221
33381254
3339429
33401320
33411353
3342462
33431419
3344132
3345495
33461518
33471551
3348528

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 34? (The answer is: 1122). Select the first number (e.g. '33') and the second number (e.g. '34'). 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 33 and 34?

LCM of 33 and 34 is 1,122

How to find the LCM of 33 and 34 using prime factorization?

To find the LCM of 33 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,122.

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 34: LCM = 1,122, GCF = 1.

See Also