LCM for 30 and 58

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 58?

Answer

LCM of 30 and 58 is 870

(Eight hundred seventy)

Finding LCM for 30 and 58 using GCF of these numbers

The first method to find LCM for numbers 30 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 58 is 2, so

LCM = (30 × 58) ÷ 2

LCM = 1740 ÷ 2

LCM = 870

Finding LCM for 30 and 58 by Listing Multiples

The second method to find LCM for numbers 30 and 58 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986

So the LCM for 30 and 58 is 870

Finding LCM for 30 and 58 by Prime Factorization

Another method to find LCM for numbers 30 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

21 × 31 × 51 × 291 = 870

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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 30 and 58? (The answer is: 870). Select the first number (e.g. '30') and the second number (e.g. '58'). 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

LCM Table

Number 1Number 2LCM
1558870
1658464
1758986
1858522
19581102
2058580
21581218
2258638
23581334
2458696
25581450
2658754
27581566
2858812
295858
3058870
31581798
3258928
33581914
3458986
35582030
36581044
37582146
38581102
39582262
40581160
41582378
42581218
43582494
44581276

FAQ

What's the Least Common Multiple (LCM) of 30 and 58?

LCM of 30 and 58 is 870

How to find the LCM of 30 and 58 using prime factorization?

To find the LCM of 30 and 58, 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 30 and 58: LCM = 870, GCF = 2.

See Also