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LCM for 29 and 30

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 29 and 30?

Answer

LCM of 29 and 30 is 870

(Eight hundred seventy)

Finding LCM for 29 and 30 using GCF of these numbers

The first method to find LCM for numbers 29 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 29 and 30 is 1, so

LCM = (29 × 30) ÷ 1

LCM = 870 ÷ 1

LCM = 870

Finding LCM for 29 and 30 by Listing Multiples

The second method to find LCM for numbers 29 and 30 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 29: 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930

So the LCM for 29 and 30 is 870

Finding LCM for 29 and 30 by Prime Factorization

Another method to find LCM for numbers 29 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 29: 29 (exponent form: 291)

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

291 × 21 × 31 × 51 = 870

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What is the LCM of 29 and 30?. The LCM of 29 and 30 is 870 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
2930870
2931899
2934986
29361044
29371073
29381102
29401160
29431247
29451305
29461334
29471363
29531537
29551595
29561624
29591711
29601740

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 29 and 30? (The answer is: 870). Select the first number (e.g. '29') and the second number (e.g. '30'). 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 29 and 30?

LCM of 29 and 30 is 870

How to find the LCM of 29 and 30 using prime factorization?

To find the LCM of 29 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 870.

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 29 and 30: LCM = 870, GCF = 1.

See Also