LCM for 30 and 75

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 75?

Answer: LCM of 30 and 75 is 150

(One hundred fifty)

Finding LCM for 30 and 75 using GCF's of these numbers

The first method to find LCM for numbers 30 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 75 is 15, so

LCM = (30 × 75) ÷ 15

LCM = 2250 ÷ 15

LCM = 150

Finding LCM for 30 and 75 by Listing Multiples

The second method to find LCM for numbers 30 and 75 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210

Multiples of 75: 75, 150, 225, 300

So the LCM for 30 and 75 is 150

Finding LCM for 30 and 75 by Prime Factorization

Another method to find LCM for numbers 30 and 75 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 75: 3, 5, 5 (exponent form: 31, 52)

21 × 31 × 52 = 150

Related Calculations

Share This Calculation
https://calculat.io/en/number/least-common-multiple-lcm-of/30--75Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/30--75">What is the LCM of 30 and 75? - Calculatio</a>Copy
What is the LCM of 30 and 75?. Find the LCM of 75 and 30 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/30--75/generated.jpgCopy

LCM Table

Number 1Number 2LCM
157575
16751200
17751275
1875450
19751425
2075300
2175525
22751650
23751725
2475600
257575
26751950
2775675
28752100
29752175
3075150
31752325
32752400
3375825
34752550
3575525
3675900
37752775
38752850
3975975
4075600
41753075
42751050
43753225
44753300

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 75? (The answer is: 150). Select the first number (e.g. '30') and the second number (e.g. '75'). 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 30 and 75?

LCM of 30 and 75 is 150

See Also