LCM for 30 and 435

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 435?

Answer

LCM of 30 and 435 is 870

(Eight hundred seventy)

Finding LCM for 30 and 435 using GCF of these numbers

The first method to find LCM for numbers 30 and 435 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 435 is 15, so

LCM = (30 × 435) ÷ 15

LCM = 13050 ÷ 15

LCM = 870

Finding LCM for 30 and 435 by Listing Multiples

The second method to find LCM for numbers 30 and 435 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 435: 435, 870, 1305, 1740

So the LCM for 30 and 435 is 870

Finding LCM for 30 and 435 by Prime Factorization

Another method to find LCM for numbers 30 and 435 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 435: 3, 5, 29 (exponent form: 31, 51, 291)

21 × 31 × 51 × 291 = 870

See Also

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 435? (The answer is: 870). Select the first number (e.g. '30') and the second number (e.g. '435'). 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
15435435
164356960
174357395
184352610
194358265
204351740
214353045
224359570
2343510005
244353480
254352175
2643511310
274353915
2843512180
29435435
30435870
3143513485
3243513920
334354785
3443514790
354353045
364355220
3743516095
3843516530
394355655
404353480
4143517835
424356090
4343518705
4443519140

FAQ

What's the Least Common Multiple (LCM) of 30 and 435?

LCM of 30 and 435 is 870

How to find the LCM of 30 and 435 using prime factorization?

To find the LCM of 30 and 435, 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 435: LCM = 870, GCF = 15.

See Also