LCM for 45 and 30

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 30?

Answer: LCM of 45 and 30 is 90

(Ninety)

Finding LCM for 45 and 30 using GCF's of these numbers

The first method to find LCM for numbers 45 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 30 is 15, so

LCM = (45 × 30) ÷ 15

LCM = 1350 ÷ 15

LCM = 90

Finding LCM for 45 and 30 by Listing Multiples

The second method to find LCM for numbers 45 and 30 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180

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

So the LCM for 45 and 30 is 90

Finding LCM for 45 and 30 by Prime Factorization

Another method to find LCM for numbers 45 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

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

32 × 51 × 21 = 90

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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 45 and 30? (The answer is: 90). Select the first number (e.g. '45') 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

LCM Table

Number 1Number 2LCM
303030
3130930
3230480
3330330
3430510
3530210
3630180
37301110
3830570
3930390
4030120
41301230
4230210
43301290
4430660
453090
4630690
47301410
4830240
49301470
5030150
5130510
5230780
53301590
5430270
5530330
5630840
5730570
5830870
59301770

FAQ

What's the Least Common Multiple (LCM) of 45 and 30?

LCM of 45 and 30 is 90

See Also