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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?. Find the LCM of 33 and 34 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1834306
1934646
2034340
2134714
2234374
2334782
2434408
2534850
2634442
2734918
2834476
2934986
3034510
31341054
3234544
33341122
343434
35341190
3634612
37341258
3834646
39341326
4034680
41341394
4234714
43341462
4434748
45341530
4634782
47341598

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